JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

f\left( x \right) = ({\log _{\cot x}}{\log _{\cot x}}\tan x)({\log _{\tan x}}{\log _{\tan x}}\cot {\left. x \right)^{ - 1}} + {\tan ^{ - 1}}\frac{{4x}}{{4 - {x^2}}},

then

f'\left( 2 \right)

is equal to

View answer and explanation

Correct option: A

\frac{1}{2}

Option A (

\frac{1}{2}

) is correct because after simplifying the function and differentiating, the value of the derivative at x=2 is

\frac{1}{2}

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