Differentiation Question 230

Question: $ \frac{d}{dx}{{(x^{2}+\cos x)}^{4}}= $

[DSSE 1979]

Options:

A) $ 4(x^{2}+\cos x)(2x-\sin x) $

B) $ 4{{(x^{2}-\cos x)}^{3}}(2x-\sin x) $

C) $ 4{{(x^{2}+\cos x)}^{3}}(2x-\sin x) $

D) $ 4{{(x^{2}+\cos x)}^{3}}(2x+\sin x) $

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Answer:

Correct Answer: C

Solution:

$ \frac{d}{dx}{{[x^{2}+\cos x]}^{4}}=4{{[x^{2}+\cos x]}^{3}}[2x-\sin x] $ .