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IIT JEE

Practice

Calculus

Limits

Quick practice

Question 1 of 5

If  f(x)=\left(\log _{\cot x} \tan x\right)\left(\log _{\tan x} \cot x\right)^{-1}+\tan ^{-1}\left(\frac{x}{\sqrt{4-x^{2}}}\right) ,  then the value of f^{\prime}(x) at x=0 would be

A

1

B

None of these

C

\frac{1}{2}

D

\frac{1}{4}

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