Differentiation Question 337
Question: The differential coefficient of $ f(\sin x) $ with respect to x, where $ f(x)=\log x $ , is
[Karnataka CET 2004]
Options:
A) $ \tan x $
B) $ \cot x $
C) $ f(\cos x) $
D) $ 1/x $
Show Answer
Answer:
Correct Answer: B
Solution:
$ \frac{d}{dx}[f(\sin x)]=\frac{d}{dx}[\log (\sin x)]=\frac{1}{\sin x}.\cos x=\cot x $ .
BETA
