Differentiation Question 263
Question: $ \frac{d}{dx}( {{\cos }^{-1}}\sqrt{\frac{1+\cos x}{2}} )= $
[AI CBSE 1982]
Options:
A) 1
B) $ \frac{1}{2} $
C) $ \frac{1}{3} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ \frac{d}{dx}( {{\cos }^{-1}}\sqrt{\frac{1+\cos x}{2}} )=\frac{d}{dx}[ {{\cos }^{-1}}( \cos \frac{x}{2} ) ]=\frac{1}{2} $ .
BETA
