Differentiation Question 160

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

[RPET 1996]

Options:

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

B) $ 2\sin x^{2}\cos x^{2} $

C) $ 4x\sin (x^{2}) $

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

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{d}{dx}(\sin 2x^{2})=\cos 2x^{2}.\frac{d}{dx}2x^{2}=\cos 2x^{2}.4x=4x.\cos 2x^{2} $ .