JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

f(x)=\tan ^{-1}\left(\frac{3 \sin x}{4+5 \cos x}\right)

then

f^{\prime}\left(\frac{\pi}{3}\right)=

View answer and explanation

Correct option: A

\frac{3}{7}

Option A (3/7) is correct because it is the value of the derivative of f(x) evaluated at x = pi/3 after simplification.

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v\frac{{\partial z}}{{\partial x}} + \frac{{\partial z}}{{\partial y}}