Développement et factorisation
Niveau de cet exercice : 
Énoncé
u003cpu003eDéterminer le domaine définition des fonctions, dans le tableau ci-dessousu003c/pu003enu003cpu003eu003cimg class=u0022alignnone size-full wp-image-9976u0022 src=u0022https://kiffelesmaths.com/wp-content/uploads/2020/06/domaine-de-définitions.pngu0022 alt=u0022domaine de définitionsu0022 width=u0022891u0022 height=u0022146u0022 /u003eu003c/pu003e
Correction
u003cpu003eu003cimg class=u0022alignnone size-full wp-image-9977u0022 src=u0022https://kiffelesmaths.com/wp-content/uploads/2020/06/tableau-de-signe-cube-moins-carree-correction.pngu0022 alt=u0022tableau de signe cube moins carree – correctionu0022 width=u0022888u0022 height=u0022145u0022 /u003eu003c/pu003e
Niveau de cet exercice : 
Énoncé
u003cpu003eSoit un u003cbu003ecylindreu003c/bu003e de hauteur u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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 data-mlang=u0022latexu0022 data-equation=u0022h%3D5u0022 /u003e et de rayon u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAALCAYAAACprHcmAAAA4UlEQVQoU23RPUrDQRAF8F+MpUKqFDYW4gX0ABLbxF6wETxALLRQItpZiGkUUouVTSCgCIJWAQslXU7gDbT0kwnzhyS4sAyz++bNezMlk2cGJfzgF+WMkY8+iriPJhZwg1NcYBFXOA5w3G3soIE5vGGIXayhFV0CGK1fUMM7ZvGJy+z0iH7BHDKiYKQri56wgdtxS4Xm8bcjHGAe39PgYF1PCQPcJaiek1jGCbaCeRWv6OIMzzjHXprv4R6dAC/lqNo4xHXGzWR8CHPhqdAcw/9CBR+oYgUBDOMTS5la5P/pHx5oLhF62wkbAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022xu0022 /u003e.u003c/pu003enu003cpu003eu003cimg class=u0022alignnone size-full wp-image-9980u0022 src=u0022https://kiffelesmaths.com/wp-content/uploads/2020/06/cylindre.pngu0022 alt=u0022cylindreu0022 width=u0022313u0022 height=u0022479u0022 /u003eu003c/pu003enu003cpu003e1- Exprimer u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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u0022 data-mlang=u0022latexu0022 data-equation=u0022S(x)u0022 /u003e le volume du cylindre en fonction de u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAALCAYAAACprHcmAAAA4UlEQVQoU23RPUrDQRAF8F+MpUKqFDYW4gX0ABLbxF6wETxALLRQItpZiGkUUouVTSCgCIJWAQslXU7gDbT0kwnzhyS4sAyz++bNezMlk2cGJfzgF+WMkY8+iriPJhZwg1NcYBFXOA5w3G3soIE5vGGIXayhFV0CGK1fUMM7ZvGJy+z0iH7BHDKiYKQri56wgdtxS4Xm8bcjHGAe39PgYF1PCQPcJaiek1jGCbaCeRWv6OIMzzjHXprv4R6dAC/lqNo4xHXGzWR8CHPhqdAcw/9CBR+oYgUBDOMTS5la5P/pHx5oLhF62wkbAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022xu0022 /u003e.u003c/pu003enu003cpu003e2- Calculer u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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u0022 data-mlang=u0022latexu0022 data-equation=u0022S(2)u0022 /u003e et u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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 data-mlang=u0022latexu0022 data-equation=u0022S(3)u0022 /u003e.u003c/pu003enu003cpu003e3 – Déterminer la valeur de u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAALCAYAAACprHcmAAAA4UlEQVQoU23RPUrDQRAF8F+MpUKqFDYW4gX0ABLbxF6wETxALLRQItpZiGkUUouVTSCgCIJWAQslXU7gDbT0kwnzhyS4sAyz++bNezMlk2cGJfzgF+WMkY8+iriPJhZwg1NcYBFXOA5w3G3soIE5vGGIXayhFV0CGK1fUMM7ZvGJy+z0iH7BHDKiYKQri56wgdtxS4Xm8bcjHGAe39PgYF1PCQPcJaiek1jGCbaCeRWv6OIMzzjHXprv4R6dAC/lqNo4xHXGzWR8CHPhqdAcw/9CBR+oYgUBDOMTS5la5P/pHx5oLhF62wkbAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022xu0022 /u003e pour que le volume du cylindre soit u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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 data-mlang=u0022latexu0022 data-equation=u0022180%5Cpiu0022 /u003e.u003c/pu003e
Correction
u003cpu003e1- u003c/pu003enu003cpu003eu003cimg class=u0022fm-editor-equationu0022 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data-mlang=u0022latexu0022 data-equation=u0022S(3)%3D5%5Ctimes%20%5Cpi%5Ctimes%203%5E2%3D45%5Cpiu0022 /u003eu003c/pu003enu003cpu003e3-u003c/pu003enu003cpu003eu003cimg class=u0022fm-editor-equationu0022 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data-mlang=u0022latexu0022 data-equation=u0022S(x)%3D180%5Cpiu0022 /u003e équivalent à u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGYAAAATCAYAAABiMHgQAAAFqUlEQVRYR+2ZZ6icVRCGn1j/iKKiYldsUWMDCyr2hr0msXexFxQLir1XVCwRC/aIGhM79orYEXvvPVZEsStPmLkePnb37vfdXPf+yIFl7+5+55w57zvzzsy5w+j9GAb4cvzde3OGhgUJSK+sWRs4FlgTuA64A7i1V8YMpX17TcxxwDjgNeBwYCVg1JTI+U9CeuUsjwA/AZsBcwOfAosC7/TKoKGybxkxUwN/FYZNBfwTr8G0VxvcRzmTqLmALwZzw37WTnvaPSYu+Uy7nJjPZN70fLVGErM1MBp4K2YvAiwH3Bw5oNaiDR++DPgSOL7h/IFME0hfGwOHAKcAD1UW9Hdldmx8/xVwPnBm4bziuRRwWKz1HnAfcEJdeU5i1gUeqBhycpMFG6JzUhzuxLoHaLhfOU3AHwbWiIhdCxCPKjH+/igwL/AZsCBwEXB/EOSa/nYvcA5wdXy+Lf6+pI76lMQoJW78bWw8sc5CAwDISkw7zDOCIlAPDmC9JlOVceVGUNdvQYw2XQ7cWCFMlRkZkeR8HUsCPUfK3ObABGAB4KNujUti1gNW71K2MvfkHlVNLvXUZ1Nnfa9+9iDTAXNGbvH94PDgbs8wOZ+7E9ikBTHaaBn/G7Av8E1sqkStAGwKTAu8H4WLbUASk2q0HXBTYWxHHMuIkZi7gHWA74EngVcrC7n4XhUkSmI+BHaNCLgKmAUwX6nZvwIHxtpq9Z8RoVVgy0NNTtC7WUvZ2bIFMYJu7jsGeAlQen8IKdsNeBaYB/gEeCwiJh1UPFWACyJ/SYiBcHRFkUocJ5bE2Ec8DTwPbBBV0vbAy+HpGrMLYEIzXDXAoQGuY5iOB24Pwz8Ibd0iepVXgI3CeImysWw6Li1uC1xj1iD6d8DXH5V3z2U09Df0aOVJ4KpyqtyNAfYsFlkReC4+Wyy92IEYI27biLgjA0enTh/zddzE8eOSGMFOsGRVz3gDkBx112LABlAiLKvnBxYCDgKs6tJD5gDODhIN5wzlpYElgdOBA4C7+0Opw++uqbzoyb6nRLYrdXWK17vY71pgpzbJX2KMjBcK1VDSVAhz0yrAEx2Isbg6K6JGZxVDG2sjTpx/BNxjkrN36vyvAXYG5ovGz2cFWsnbD9gx2FeqJKccApUae0Q8J4l+V/7WBVb/6yNXAHu0Sf5WbqqEyrEwsEM4sgqyLKBDvtuBGEmXBIc4mJsspWcDloi86hqTcBNsgboyJuREP1ryWY9Xw9p+w5D1Xd2UZSOg1ZimSJqGce1Gq826GSF1WOvmgvTicLpquTxT5JSZ4z2xs3hRZVQDSfmlBTGpGPY7RxUGu5fFzjaR104DFq8SY11u4lq56P7vATaMiPE3x/AgRUP0FHOKGmljlgcXNOXgemD2kJAzohFzDZsyS2Q9sOmwrK/mkfxsUWGeKZ3AQqasiNrtey5waIuIWR64JaS7JFjHc18l+s1wQguesoDJ5L8q8FRsPEPgorTZC7mn6WC1KjHmBMPKZskhuJ/HTYCb5FWNrAq6NbnfWdvrEYZ2PrNVJHs3E6QLo0cx+doVu0ZqbFNimly+dhOtp0a15Jl0nJwzY+QBL11TXbR99wB1mTi/xdF5gJ+993OYEhaLHJSkKoMqjhJopCmPRp6kWhH3/R9Ej/eqwVCzDBQ4ybE81iOSrCRj7zBaeXKeXpERIEkmOsmzEvk6jPwO2D9C9+2mjAzCPEn2jk4S1Hu9/5kA0+5fqREL86jOZrWmA1sI2TxKhhHpfJ+TPPPHDSFxVnk2zxYgibn7icE+ESHma//t0Ydj6XkCaeKzHn88mK7qsheM3hFldOTdkJumd+W904gwxu8tEH6Oy8nyonQQcK69pGcQEMFKB/Tc5hMlu5RcCxg7faXNtsI84e14OVLKbVTFSoVQfcrhulaJKkqSpTL1RWkTSah98ikT6iPwLyOmc1Nx9sKgAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u00225%5Cpi%20x%5E2%3D180%5Cpiu0022 /u003eu003c/pu003enu003cp style=u0022padding-left: 160px;u0022u003eu003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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u0022 data-mlang=u0022latexu0022 data-equation=u0022x%5E2%3D%5Cfrac%7B180%5Cpi%7D%7B5%5Cpi%7D%20%3D36u0022 /u003eu003c/pu003enu003cp style=u0022padding-left: 160px;u0022u003eu003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGgAAAAXCAYAAADnaAq1AAAFSklEQVRoQ+2YdahlVRTGf2ONhco4IqKggqiYYHd3IoqiInbMqKjY2C12joLd+YddGGMHFmK3WKjY3fKT7zwPl3vunPPe9TrvOhse755799l7rfWt9X1r7xFMGhN1BEZM1NZNMo5+Akhf9gM+7RKul3VpnSEt0y8A6cdRwBbAB0OKyD8vr96ldYa0TL8AtAjwJDAd8EciMlkpMn8C/rUbxqCIQ6d5Qwp0zZe1Q7v14W97+wEgfTgbeA84OT5ZTYclKFcB9wB3Ap+1BGom4DhgDWCqzDkI+KZmQLs1TVAOB9YBfga+Bk4DxvcDQHMBzwKjk3mzAjcBm0SPdgXGRZ9OL1XYAsAFwH3A0cA8wIkB2+96OS4Bpge2zKbXJpnG9ANABldKODLObQ9cnKAfEcr4HXgdWBD4Ld9dCkiNi+X9HYELgZ2Ai3qEjvHfJ9WzUPRzYeAF4DxgbCtABW8XPK6dBSf2yOZG24wCngesosLmDYB9AavlFmBZ4LFo1HKZtz5wG3BMguOmMwKLA8+EYhoZMsjJswGPAlcCJlOhk0sFrI/KAK0ImH0zADcC9wOfAOcAZwBvDdKIf/O1Q+OUOlIe5aTaHzgpgAmcQ63y8yHRrnnjn3pltfVqbBw6PhZ4AhCYj4FHgBfLTcKqAcTs+x54APAcsAtwfPhd8Np1QoLse53GNMB3+XP+w6WMH2wwpgQeBFaoWGtrYL40C3tFh6Q395fztw2lPQ48DVwNvJJWvcwgrfZt1KEjdK6dZOGrifIl8FyFk9KpOihA7mlFqz/zA5sCrxVtnV2OhzzpYkngqTzfAbwc5/bsEFS7pmJMkY5oZL74HPgitPFjEuCuGgDpnMFQ8NsNudsKN7Dthp3ZLGkWtEmNktsnT7e2JnBwGgPfd66HXDVNuqkaVb4aS4H5Nv9NdJ/VviqAZABB0UcBESTtuxf4yu8KinNTHbBCCkqQ8iw1X3D0svTd8wRACiiEvRwwwbsG2KqGXa71ZhLDLukl4DpgM0CQDIZDEH8F7gbUqF74a9Kf1aKF+qa8SHej2zUJ1wPrpe3rVOrlgDXtBqsOja7pWu67R/RvbDqa8n7S7aLA3m3SvF2jI41IJ753eTTV4JQBkjJ/yXp+lg7bjaa+ukaVv958SGnlZkX7lZiVPJ8Vm80O/JAD2rsRTHXJhV1EDbEtrRqdAt7uneXTWVWtZ9W8DbwaetRYqcNhRSjmVk9rAumcZxjpyuqzsdFHz0G7hbZPDfgebm2tbcmLdQVFTarStU7BrvJF/bNK2o1lsp96v10maK8ArQzM6YPgeH81Phn2DnA+MCbOeUJfK8GqMqJ8rdIBx4Gf6lameuCNQFkXNgcOAJaoqB5Bse1eLY5qm9oj6DKDNwoz53BbCLRLzQG879kj/lclXVNfO10fSavS7bTAuqVEkXbfMKkEqEBx7lSJ1yFWkxpwYDqbU2qIeh1gms6xCzO4Jo0nf8dDya52GmHwFPgdQmNnhgE8Z9gICZDvOU/d3TCndyvOJslklft7oT9FLOyAbwVklQ+TfCbJ0jZrAuQVg82A7aCHOzu33UMDlmedjqtp4OvON5Ce7tUO2+apgZ1z+KxaQwq04rdJ8G8HbgCuaEmyAiQDY3fpdZGgVWlPXZubzhMDtdRk8bOd9LlpbAYuS/2hXNKtz0037eZ8qUpdkZd/Cli21xMaAlXQSyeNFKiiMWmqpROyocnvhR3aMCABg+lImmzajbnaeHMyTJryxve/DGQ3fKq9xnAASGfs4uzc1s7BubaDw33icAFIO1dJp/m/qR6Ta7gANNwLYdD2/wWwkjaWar3xDwAAAABJRU5ErkJggg==u0022 data-mlang=u0022latexu0022 data-equation=u0022x%3D%5Csqrt%7B36%7D%20%3D6u0022 /u003eu003c/pu003enu003cpu003edonc la valeur de u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAALCAYAAACprHcmAAAA4UlEQVQoU23RPUrDQRAF8F+MpUKqFDYW4gX0ABLbxF6wETxALLRQItpZiGkUUouVTSCgCIJWAQslXU7gDbT0kwnzhyS4sAyz++bNezMlk2cGJfzgF+WMkY8+iriPJhZwg1NcYBFXOA5w3G3soIE5vGGIXayhFV0CGK1fUMM7ZvGJy+z0iH7BHDKiYKQri56wgdtxS4Xm8bcjHGAe39PgYF1PCQPcJaiek1jGCbaCeRWv6OIMzzjHXprv4R6dAC/lqNo4xHXGzWR8CHPhqdAcw/9CBR+oYgUBDOMTS5la5P/pHx5oLhF62wkbAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022xu0022 /u003e pour que le volume du cylindre est u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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 data-mlang=u0022latexu0022 data-equation=u0022180%5Cpiu0022 /u003e est u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAQCAYAAADESFVDAAABBUlEQVQoU3XSvyvGURTH8deDwqCwUgZmhUFKSc9iJ4v8AZJVohgMBhlsssggqYfyD/iRxCRMhBSZzGx+dHRvvgOn7nA/933POfdzbsnfUcJXPopNMaoxihFM4hUfRagde9jHIs6xhEqG6nGKTayiE1fYxlhAsaYxh0Z8Jm0HN5gPoBb3eEA5NRh6wLF+srTiGcc4wwQasIKZAAPqwgWOsIYoU4NHbGAhoH6c4DpdyD0dojm0gDpwl8oNJhNDD2ggzmMTz3/HJboTVIWDBJUDCqGCPrQULIhMTejJPo0nI9vwhBjPLdaxnB0PcSs1PoVZ1GEYL8XZRdkh9CZjd/GWzfznt/zK3/euN4DBVwvDAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u00226u0022 /u003e.u003c/pu003e
Niveau de cet exercice :
Énoncé
u003cpu003eSoit u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAALCAYAAACprHcmAAAA4UlEQVQoU23RPUrDQRAF8F+MpUKqFDYW4gX0ABLbxF6wETxALLRQItpZiGkUUouVTSCgCIJWAQslXU7gDbT0kwnzhyS4sAyz++bNezMlk2cGJfzgF+WMkY8+iriPJhZwg1NcYBFXOA5w3G3soIE5vGGIXayhFV0CGK1fUMM7ZvGJy+z0iH7BHDKiYKQri56wgdtxS4Xm8bcjHGAe39PgYF1PCQPcJaiek1jGCbaCeRWv6OIMzzjHXprv4R6dAC/lqNo4xHXGzWR8CHPhqdAcw/9CBR+oYgUBDOMTS5la5P/pHx5oLhF62wkbAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022xu0022 /u003e une fonction telle que u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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 data-mlang=u0022latexu0022 data-equation=u0022f(x)%3D%5Cfrac%7B%E2%88%923%7D%7Bx%7Du0022 /u003e.u003c/pu003enu003colu003enu003cliu003eDétermineru003cspan style=u0022font-size: 16.66px; white-space: nowrap;u0022u003e u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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 data-mlang=u0022latexu0022 data-equation=u0022D_fu0022 /u003eu003c/spanu003e et calculer u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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u0022 data-mlang=u0022latexu0022 data-equation=u0022f%5Cleft%20(%20%5Cfrac%7B1%7D%7B2%7D%20%5Cright%20)%20%2C%20f(1)%2Cf(3)u0022 /u003e et u003cspan id=u0022MathJax-Element-36-Frameu0022 class=u0022mjx-chtml MathJax_CHTMLu0022 style=u0022box-sizing: inherit; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;u0022 tabindex=u00220u0022 role=u0022presentationu0022 data-mathml=u0022u0026lt;math xmlns=u0026quot;http://www.w3.org/1998/Math/MathMLu0026quot;u0026gt;u0026lt;miu0026gt;fu0026lt;/miu0026gt;u0026lt;mo stretchy=u0026quot;falseu0026quot;u0026gt;(u0026lt;/mou0026gt;u0026lt;mnu0026gt;6u0026lt;/mnu0026gt;u0026lt;mo stretchy=u0026quot;falseu0026quot;u0026gt;)u0026lt;/mou0026gt;u0026lt;/mathu0026gt;u0022u003eu003cspan id=u0022MJXc-Node-248u0022 class=u0022mjx-mathu0022 aria-hidden=u0022trueu0022u003eu003cspan id=u0022MJXc-Node-249u0022 class=u0022mjx-mrowu0022u003eu003cspan id=u0022MJXc-Node-250u0022 class=u0022mjx-miu0022u003eu003cspan class=u0022mjx-char MJXc-TeX-math-Iu0022u003eu003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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 data-mlang=u0022latexu0022 data-equation=u0022f(6)u0022 /u003eu003c/spanu003eu003c/spanu003eu003c/spanu003eu003c/spanu003eu003c/spanu003e.u003c/liu003enu003cliu003eDonner le tableau de variation de u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAUCAYAAAC07qxWAAAA9klEQVQ4T43TzypFURTH8c/1BjJFHgEDZUAyMDAxkQeQkRJl6ibGDBgyMBZ5AZFrYETeQShlYOZ2y59W7XO7nc4+7Fqj/V17/X5rrd3wz9Oo4eJuJsVuHbiKLWxjIwf24QK32MdNDpzEHebxiE4OXMMhBvESPsrgLKLsNJpYxxtOy+BOSp7CZyrfwV5V6XjxCefhtmhfFTiOByzhrA5cwTGG8FwHHmARw/jKgSHlMhlZwHcODCOvOEqj+8mBA3jHMk56F6ZwHcAoPnCPuSShywYYcZ3WaRMjqX9dfcUIQ9dVSo2XJ9Au72lRuh9jaPW2pErjnx/iF55rK8BF04npAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022fu0022 /u003e.u003c/liu003enu003cliu003eDéterminer la parité de u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAUCAYAAAC07qxWAAAA9klEQVQ4T43TzypFURTH8c/1BjJFHgEDZUAyMDAxkQeQkRJl6ibGDBgyMBZ5AZFrYETeQShlYOZ2y59W7XO7nc4+7Fqj/V17/X5rrd3wz9Oo4eJuJsVuHbiKLWxjIwf24QK32MdNDpzEHebxiE4OXMMhBvESPsrgLKLsNJpYxxtOy+BOSp7CZyrfwV5V6XjxCefhtmhfFTiOByzhrA5cwTGG8FwHHmARw/jKgSHlMhlZwHcODCOvOEqj+8mBA3jHMk56F6ZwHcAoPnCPuSShywYYcZ3WaRMjqX9dfcUIQ9dVSo2XJ9Au72lRuh9jaPW2pErjnx/iF55rK8BF04npAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022fu0022 /u003e.u003c/liu003enu003cliu003eTracer la courbe de u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAUCAYAAAC07qxWAAAA9klEQVQ4T43TzypFURTH8c/1BjJFHgEDZUAyMDAxkQeQkRJl6ibGDBgyMBZ5AZFrYETeQShlYOZ2y59W7XO7nc4+7Fqj/V17/X5rrd3wz9Oo4eJuJsVuHbiKLWxjIwf24QK32MdNDpzEHebxiE4OXMMhBvESPsrgLKLsNJpYxxtOy+BOSp7CZyrfwV5V6XjxCefhtmhfFTiOByzhrA5cwTGG8FwHHmARw/jKgSHlMhlZwHcODCOvOEqj+8mBA3jHMk56F6ZwHcAoPnCPuSShywYYcZ3WaRMjqX9dfcUIQ9dVSo2XJ9Au72lRuh9jaPW2pErjnx/iF55rK8BF04npAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022fu0022 /u003e.u003c/liu003enu003c/olu003e
Correction
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data-mlang=u0022latexu0022 data-equation=u0022f(3)%3D%5Cfrac%7B%E2%88%923%7D%7B3%7D%20%3D-1u0022 /u003eu003c/pu003enu003cpu003eu003cimg class=u0022fm-editor-equationu0022 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data-mlang=u0022latexu0022 data-equation=u0022f(6)%3D%5Cfrac%7B%E2%88%923%7D%7B6%7D%20%3D%5Cfrac%7B%E2%88%921%7D%7B2%7Du0022 /u003eu003c/pu003enu003chr /u003enu003cpu003e2-u003c/pu003enu003cpu003eLa fonction u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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 data-mlang=u0022latexu0022 data-equation=u0022x%5Cmapsto%20%5Cfrac%7B1%7D%7Bx%7Du0022 /u003e est décroissante sur u003cimg class=u0022fm-editor-equationu0022 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data-mlang=u0022latexu0022 data-equation=u0022%5D-%5Cinfty%20%3B%200%5Bu0022 /u003e et sur u003cimg class=u0022fm-editor-equationu0022 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data-mlang=u0022latexu0022 data-equation=u0022%5Cfrac%7B-3%7D%7Bx%7D%20%3C%20%20%5Cfrac%7B-3%7D%7By%7Du0022 /u003e c’est à dire u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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u0022 data-mlang=u0022latexu0022 data-equation=u0022f(x)%3C%20f(y)u0022 /u003e donc u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAUCAYAAAC07qxWAAAA9klEQVQ4T43TzypFURTH8c/1BjJFHgEDZUAyMDAxkQeQkRJl6ibGDBgyMBZ5AZFrYETeQShlYOZ2y59W7XO7nc4+7Fqj/V17/X5rrd3wz9Oo4eJuJsVuHbiKLWxjIwf24QK32MdNDpzEHebxiE4OXMMhBvESPsrgLKLsNJpYxxtOy+BOSp7CZyrfwV5V6XjxCefhtmhfFTiOByzhrA5cwTGG8FwHHmARw/jKgSHlMhlZwHcODCOvOEqj+8mBA3jHMk56F6ZwHcAoPnCPuSShywYYcZ3WaRMjqX9dfcUIQ9dVSo2XJ9Au72lRuh9jaPW2pErjnx/iF55rK8BF04npAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022fu0022 /u003e est croissante.u003c/pu003enu003cpu003eet pour deux éléments u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAALCAYAAACprHcmAAAA4UlEQVQoU23RPUrDQRAF8F+MpUKqFDYW4gX0ABLbxF6wETxALLRQItpZiGkUUouVTSCgCIJWAQslXU7gDbT0kwnzhyS4sAyz++bNezMlk2cGJfzgF+WMkY8+iriPJhZwg1NcYBFXOA5w3G3soIE5vGGIXayhFV0CGK1fUMM7ZvGJy+z0iH7BHDKiYKQri56wgdtxS4Xm8bcjHGAe39PgYF1PCQPcJaiek1jGCbaCeRWv6OIMzzjHXprv4R6dAC/lqNo4xHXGzWR8CHPhqdAcw/9CBR+oYgUBDOMTS5la5P/pHx5oLhF62wkbAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022xu0022 /u003e et u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAPCAYAAAA2yOUNAAAA/ElEQVQoU13RvyvFcRTG8dflLzAYGJksMtiVHwOKhcFmVVxZTCiU2SDJQKRMSgYpTEwsShmUH9ko/gF16XC+utdnOedzenrO+5xT8vvqMkaoVOU/aSkLS5jHIabxkvV+zIaoGVsYwg1WsJcGx2gKUQ8GcYBLjGMnEd6xG6L65FhEGR14RieuMVIwBfgJHjGBr4zraCxEDfjAFNYSehNdaCtELXhAL84T4QyvGKtut40n3GE0WLCMhUIUHVrRFyPjAqdox20x3T7uMZetjnCVTpUQdSfHKmYwgEkM47M4S4wfPLGbaPmGjXSuuV04hkPsKnZUc+Rq8P/H//t/AyF/M5oWf9HDAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022yu0022 /u003e de u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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 data-mlang=u0022latexu0022 data-equation=u0022%5D0%3B%2B%5Cinfty%20%5Bu0022 /u003e tels que u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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 data-mlang=u0022latexu0022 data-equation=u0022x%3C%20yu0022 /u003e on a u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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 data-mlang=u0022latexu0022 data-equation=u0022%5Cfrac%7B1%7D%7Bx%7D%20%3E%20%5Cfrac%7B1%7D%7By%7Du0022 /u003eu003c/pu003enu003cpu003ealors u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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 data-mlang=u0022latexu0022 data-equation=u0022%5Cfrac%7B-3%7D%7Bx%7D%20%3C%20%20%5Cfrac%7B-3%7D%7By%7Du0022 /u003e c’est à dire u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,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u0022 data-mlang=u0022latexu0022 data-equation=u0022f(x)%3C%20f(y)u0022 /u003e donc u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAUCAYAAAC07qxWAAAA9klEQVQ4T43TzypFURTH8c/1BjJFHgEDZUAyMDAxkQeQkRJl6ibGDBgyMBZ5AZFrYETeQShlYOZ2y59W7XO7nc4+7Fqj/V17/X5rrd3wz9Oo4eJuJsVuHbiKLWxjIwf24QK32MdNDpzEHebxiE4OXMMhBvESPsrgLKLsNJpYxxtOy+BOSp7CZyrfwV5V6XjxCefhtmhfFTiOByzhrA5cwTGG8FwHHmARw/jKgSHlMhlZwHcODCOvOEqj+8mBA3jHMk56F6ZwHcAoPnCPuSShywYYcZ3WaRMjqX9dfcUIQ9dVSo2XJ9Au72lRuh9jaPW2pErjnx/iF55rK8BF04npAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022fu0022 /u003e est croissante.u003c/pu003enu003cpu003eu003cimg class=u0022alignnone size-full wp-image-9987u0022 src=u0022https://kiffelesmaths.com/wp-content/uploads/2020/06/tableau-de-variation-inverse.pngu0022 alt=u0022u0022 width=u0022743u0022 height=u0022237u0022 /u003eu003c/pu003enu003chr /u003enu003cpu003e3- u003c/pu003enu003cpu003eu003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAUCAYAAAC07qxWAAAA9klEQVQ4T43TzypFURTH8c/1BjJFHgEDZUAyMDAxkQeQkRJl6ibGDBgyMBZ5AZFrYETeQShlYOZ2y59W7XO7nc4+7Fqj/V17/X5rrd3wz9Oo4eJuJsVuHbiKLWxjIwf24QK32MdNDpzEHebxiE4OXMMhBvESPsrgLKLsNJpYxxtOy+BOSp7CZyrfwV5V6XjxCefhtmhfFTiOByzhrA5cwTGG8FwHHmARw/jKgSHlMhlZwHcODCOvOEqj+8mBA3jHMk56F6ZwHcAoPnCPuSShywYYcZ3WaRMjqX9dfcUIQ9dVSo2XJ9Au72lRuh9jaPW2pErjnx/iF55rK8BF04npAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022fu0022 /u003e est une fonction définie sur u003cimg class=u0022fm-editor-equationu0022 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src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAQCAYAAADESFVDAAAA3UlEQVQoU43Svy5EQRzF8c+i5gWoVkPtX7u1WhS8gEqlQyyeQ0M22WQLjWITnUIkHkE0nkChQ+Rs5spEuDHJL5Pc+Z57fnN+0/GP1amYaRxgBaNS7zlvoACXeMMQW+VsDx+BUvulFvMRET3hHBcBpnCPMY4r+1MsYTvQLF5x9gt0hJlA3fLrv6CFQBvFLv5RNiuiQ6wHWsNDi90EmsdLCzSxy3UT2k+73O678URwg8eqp4j7WMVmE2ZUu2jCTAt3uEos9Vhu8YzsPcxhJ63UA47tCZYxwDU+6wG3Ppgvq38uwaPpUMwAAAAASUVORK5CYII=u0022 data-mlang=u0022latexu0022 data-equation=u00220u0022 /u003e et u003cimg class=u0022fm-editor-equationu0022 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data-mlang=u0022latexu0022 data-equation=u0022f(-x)%3D%5Cfrac%7B-3%7D%7B-x%7D%20%3D-%5Cleft%20(%20%5Cfrac%7B-3%7D%7Bx%7D%20%5Cright%20)%20%3D-f(x)u0022 /u003eu003c/pu003enu003cpu003edonc u003cimg class=u0022fm-editor-equationu0022 src=u0022data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAUCAYAAAC07qxWAAAA9klEQVQ4T43TzypFURTH8c/1BjJFHgEDZUAyMDAxkQeQkRJl6ibGDBgyMBZ5AZFrYETeQShlYOZ2y59W7XO7nc4+7Fqj/V17/X5rrd3wz9Oo4eJuJsVuHbiKLWxjIwf24QK32MdNDpzEHebxiE4OXMMhBvESPsrgLKLsNJpYxxtOy+BOSp7CZyrfwV5V6XjxCefhtmhfFTiOByzhrA5cwTGG8FwHHmARw/jKgSHlMhlZwHcODCOvOEqj+8mBA3jHMk56F6ZwHcAoPnCPuSShywYYcZ3WaRMjqX9dfcUIQ9dVSo2XJ9Au72lRuh9jaPW2pErjnx/iF55rK8BF04npAAAAAElFTkSuQmCCu0022 data-mlang=u0022latexu0022 data-equation=u0022fu0022 /u003e est une fonction impaire.u003c/pu003enu003chr /u003enu003cpu003e4- u003c/pu003enu003cpu003eu003cimg class=u0022alignnone size-full wp-image-9988u0022 src=u0022https://kiffelesmaths.com/wp-content/uploads/2020/06/courbe-de-la-fonction-inverse.pngu0022 alt=u0022u0022 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