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  • Please solve RD Sharma class 12 chapter 9 Differentiability exercise Fill in the blanks question 9 maths textbook solution

Please solve RD Sharma class 12 chapter 9 Differentiability exercise Fill in the blanks question  9 maths textbook solution

Answers (1)

Answer: 4

Hint: Substitute 2 in the function after differentiating w.r.t x.

Given: f(x)=x|x|

Solution:  

\begin{aligned} &f(x)=\left\{\begin{array}{l} x^{2}, x \geq 0 \\ -x^{2}, x<0 \end{array}\right\} \\\\ &f^{\prime}(x)=\left\{\begin{array}{l} 2 x, x \geq 0 \\\\ -2 x, x<0 \end{array}\right\} \\\\ &f^{\prime}(2)=2(2)=4 \end{aligned}

 

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