Which of the following functions are not derivable at ?

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Which of the following functions are not derivable at x=0x = 0? (1) f(x)=sin⁡−12x1−x2f(x) = \sin^{-1} 2x \sqrt{1-x^2} (2) g(x)=sin⁡−1(2x+11+4x)g(x) = \sin^{-1} \left( \frac{2^x+1}{1+4^x} \right) (3) h(x)=sin⁡−1(1−x21+x2)h(x) = \sin^{-1} \left( \frac{1-x^2}{1+x^2} \right) (4) k(x)=sin⁡−1(cos⁡x)k(x) = \sin^{-1} (\cos x)

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