Differentiation Question 324
Question: If $ y={{(\cos x^{2})}^{2}} $ then $ \frac{dy}{dx} $ is equal to
[Pb. CET 2004]
Options:
A) $ -4x\sin 2x^{2} $
B) $ -x\sin x^{2} $
C) $ -2x\sin 2x^{2} $
D) $ -x\cos 2x^{2} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ y={{(\cos x^{2})}^{2}} $ ; $ \frac{dy}{dx}=2\cos x^{2}.(-\sin x^{2}).2x $
$ \frac{dy}{dx}=-4x\sin x^{2}\cos x^{2}=-2x\sin 2x^{2} $ .
BETA
