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  • Please solve RD Sharma class 12 chapter 10 Differentiation exercise Very short answers question 13 maths textbook solution

Please solve RD Sharma class 12 chapter 10 Differentiation exercise Very short answers question 13 maths textbook solution

Answers (1)

Answer:

The answer of the given question will be 0.

Given:

\text { If } y=\sin ^{-1} x+\cos ^{-1} x \text { find } \frac{d y}{d x}

Hint:

\begin{aligned} &\frac{d}{d x}\left(\sin ^{-1} x\right)=\frac{1}{\sqrt{1-x^{2}}} \\\\ &\frac{d}{d x}\left(\cos ^{-1} x\right)=\frac{-1}{\sqrt{1-x^{2}}} \end{aligned}

Solution:  

\begin{aligned} &y=\sin ^{-1} x+\cos ^{-1} x \\\\ &\Rightarrow \frac{d y}{d x}=\frac{1}{\sqrt{1-x^{2}}}-\frac{1}{\sqrt{1-x^{2}}} \\\\ &=0 \end{aligned}

So, the answer of  \frac{d y}{d x}=0

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