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# $=(sinx)_{′}sinx+sinx(sinx)_{′}=(cosx)sinx+sinx(cosx)_{′}=2sinxcosx=sin2x. $ EXERCISE $13.2$ Find the derivative of $x_{2}−2$ at $x=10$. 2. Find the derivative of $x$ at $x=1$. Find the derivative of $99x$ at $x=100$. 2. Find the derivative of the following functions from first principle. (h) $x_{3}−27$ (ii) $(x−1)(x−2)$ (iii) $x_{2}1 $ (iv) $x−1x+1 $ 5. For the function $f(x)=100x_{100} +99x_{90} +…+2x_{2} +x+1$

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**LIVE**classesQuestion Text | $=(sinx)_{′}sinx+sinx(sinx)_{′}=(cosx)sinx+sinx(cosx)_{′}=2sinxcosx=sin2x. $
EXERCISE $13.2$
Find the derivative of $x_{2}−2$ at $x=10$.
2. Find the derivative of $x$ at $x=1$.
Find the derivative of $99x$ at $x=100$.
2. Find the derivative of the following functions from first principle.
(h) $x_{3}−27$
(ii) $(x−1)(x−2)$
(iii) $x_{2}1 $
(iv) $x−1x+1 $
5. For the function
$f(x)=100x_{100} +99x_{90} +…+2x_{2} +x+1$ |

Updated On | Feb 11, 2023 |

Topic | Limit, Continuity and Differentiability |

Subject | Mathematics |

Class | Class 12 |

Answer Type | Video solution: 1 |

Upvotes | 119 |

Avg. Video Duration | 10 min |