Differentiation Question 222

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

[DSSE 1979]

Options:

A) $ \sin (\sin x^{2}).\cos x^{2}.2x $

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

C) $ -\sin (\sin x^{2}).{{\cos }^{2}}x.2x $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{d}{dx}{\cos (\sin x^{2})}=-\sin (\sin x^{2})\cos x^{2}.2x $ .