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  • Provide solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Multiple choice question 22

Provide solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Multiple choice question 22

Answers (1)

Answer:

        -2 x+9, \text { If } 4<x<5

Hint:

        Differentiate the function w.r.t x

Given:

        f(x)=\left|x^{2}-9 x+20\right| \text { Then } f^{\prime}(x)=

Solution:  

        f(x)=\left|x^{2}-9 x+20\right|

        f(x)=\left\{\begin{array}{cc} x^{2}-9 x+20 & -\infty<x \leq 4 \\\\ -\left(x^{2}-9 x+20\right) & 4<x<5 \\\\ x^{2}-9 x+20 & 5 \leq x<\infty \end{array}\right.

        f^{\prime}(x)= \begin{cases}2 x-9 & \infty<x \leq 4 \\\\ -2 x+9 & 4<x<5 \\\\ 2 x-9 & 5 \leq x<\infty\end{cases}

        f^{\prime}(x)=-2 x+9 \text { for } 4<x<5

 

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