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  • Explain solution RD Sharma class 12 chapter 9 Differentiability exercise Fill in the blanks question 8 maths

Explain solution RD Sharma class 12 chapter 9 Differentiability exercise Fill in the blanks question  8 maths

Answers (1)

Answer: 2       

Hint: Substitute -1 in the function after differentiating w.r.t x.

Given:

Solution:

\begin{aligned} &f(x)=y=\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}(-1)=-2(-1)=2 \end{aligned}

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