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  • Provide solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Fill in the blanks question 18

Provide solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Fill in the blanks question  18

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Answer: \frac{3}{\sqrt{1-x^{2}}}

Hint: \text { put } x=\sin \theta

Given: y=\sin ^{-1}\left(3 x-4 x^{3}\right)

Solution:  By putting x=\sin \theta \text { in } \mathrm{y}

\begin{aligned} &y=\sin ^{-1}(3 \sin \theta-4 \sin \theta) \\\\ &y=\sin ^{-1}(\sin 3 \theta) \end{aligned}

    \begin{aligned} &=3 \theta \\\\ &=3 \sin ^{-1} x \end{aligned}

\frac{d y}{d x}=\frac{3}{\sqrt{1-x^{2}}}

 

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