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} $ .