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Consider the function f(x)=sin^(-1)(2xsq...

Consider the function `f(x)=sin^(-1)(2xsqrt(1-x^2)),(-1)/sqrt2lexle1/sqrt2`
Find f'(x)`.

Text Solution

Verified by Experts

`y=sin^-1(2xsqrt(1-x^2)=2sin^-1xtherefore(dy)/(dx)=2xx1/sqrt(1-x^2)=2/sqrt(1-x^2)sin^-1(2xsqrt(1-x^2)=2sin^-1x`
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