Differentiation Question 272

Question: $ \frac{d}{dx}[ \frac{2}{\pi }\sin x^{0} ]= $

Options:

A) $ \frac{\pi }{180}\cos x^{0} $

B) $ \frac{1}{90}\cos x^{0} $

C) $ \frac{\pi }{90}\cos x^{0} $

D) $ \frac{2}{90}\cos x^{0} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{d}{dx}[ \frac{2}{\pi }\sin x{}^\circ ]=\frac{d}{dx}[ \frac{2}{\pi }\sin \frac{\pi .x}{180} ] $

$ =\frac{2}{\pi }\frac{\pi }{180}\cos \frac{x\pi }{180}=\frac{\cos x{}^\circ }{90} $ .