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) $
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{d}{dx}{{[x^{2}+\cos x]}^{4}}=4{{[x^{2}+\cos x]}^{3}}[2x-\sin x] $ .