JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

f(x)=\left|\begin{array}{ll}\sin x & \cos x \\ \tan x & \cot x\end{array}\right|

, then the value of

-256 \sqrt{2} f^{\prime}\left(\frac{\pi}{4}\right)

must be:

View answer and explanation

Correct option: A

512

Option A (512) is correct because it is the value obtained after calculating the derivative of the determinant and substituting x = π/4.

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\frac{{dy}}{{dx}}

\frac{d}{d x} \sin ^{-1}\left(3 x-4 x^{3}\right)

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