JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

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Application +4 | -1

\frac{d}{d x} x^{\log x}=

View answer and explanation

Correct option: A

x^{\log x}\left(\frac{2 \log x}{x}\right)

Option A (

x^{\log x}(\frac{{2 \log x}}{{x}})

) is correct because it's the result of applying logarithmic differentiation to the given function.

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f(x)=|x|^{|\tan x|}

f^{\prime}\left(\frac{-\pi}{6}\right)

x

y

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x y=1

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f(x)=[x] \sin (\pi x)

[x]

x

x=k, k

f(x)

y = {\sec ^{ - 1}}\left[ {\mathrm{cosec}x} \right] + \mathrm{cose}{\mathrm{c}^{ - 1}}\left[ {\sec x} \right] + {\sin ^{ - 1}}[\cos x] + {\cos ^{ - 1}}[\sin x],

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

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

z = y + f\left( v \right),

v = \left( {\frac{x}{y}} \right),

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