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  • Explain solution RD Sharma class 12 chapter 10 Differentiation exercise Very short answers question 8 maths

Explain solution RD Sharma class 12 chapter 10 Differentiation exercise Very short answers question 8 maths

Answers (1)

Answer:

The answer of the given question will be -1.

Given:

\text { If } \frac{\pi}{2} \leq x \leq \frac{3 \pi}{2} \text { and } y=\sin ^{-1}(\sin x) \text { find } \frac{d y}{d x}

Hint:

Here, \frac{\pi}{2} \leq x \leq \frac{3 \pi}{2}

Solution:  

\begin{aligned} &y=\sin ^{-1}(\sin x)=(\pi-x) \\\\ &\frac{d y}{d x}=\frac{d}{d x}(\pi-x)=-1 \end{aligned}

So the answer of  \frac{d y}{d x}=-1

 

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