Let , , and . If , then…

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

Problem

Let f(x)=sin⁡xf(x)=\sin x, g(x)=x2g(x)=x^2, and h(x)=log⁡xh(x)=\log x. If f(x)=h(f(g(x)))f(x)=h(f(g(x))), then f′(x)f'(x) is (1) 2xcot⁡x22x\cot x^2 (2) 2cos⁡x2cos⁡2x2\cos x^2\cos^2 x (3) −2cos⁡x2cos⁡2x-2\cos x^2\cos^2 x (4) None of these

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