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  • Please solve RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question 1 maths textbook solution

Please solve RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question 1 maths textbook solution

Answers (1)

Answer:   \left(\frac{d y}{d u}\right)_{u=-1}=2

Hint:   y=\left(\begin{array}{cc} u^{2} & u \geq 0 \\ -u^{2} & u<0 \end{array}\right)

Given:   \mathrm{y}=\mathrm{u}|\mathrm{u}|

Solution:

        \begin{aligned} &y=\left(\begin{array}{cc} u^{2} & u \geq 0 \\ -u^{2} & u<0 \end{array}\right) \\\\ &\frac{d y}{d u}=\left(\begin{array}{cc} 2 u^{2} & u \geq \ 0 \\\\ -2 u^{2} & u<0 \end{array}\right) \end{aligned}

\begin{aligned} &\left(\frac{d y}{d u}\right)_{-1}=(-2(-1)\\ \end{aligned}

                =2

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