Differentiation Question 215
Question: If $ y=\cos (\sin x^{2}), $ then at $ x=\sqrt{\frac{\pi }{2}},\frac{dy}{dx} $ =
Options:
A) - 2
B) 2
C) $ -2\sqrt{\frac{\pi }{2}} $
D) 0
Show Answer
Answer:
Correct Answer: D
Solution:
Since $ \frac{dy}{dx}=-\sin (\sin x^{2}).\cos x^{2}.2x $
Therefore, at $ x=\sqrt{\frac{\pi }{2}}, $
$ \cos x^{2}=\cos \frac{\pi }{2}=0 $
Therefore $ \frac{dy}{dx}=0 $ .
BETA
