The derivative of ${e^x}^3$ with respect to $\log x$ is

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

The derivative of

{e^x}^3

with respect to

\log x

View answer and explanation

Correct option: C

3{x^3}{e^x}^3

Option C (

3{x^3}{e^x}^3

) is correct because it is the result of correctly applying the chain rule and dividing the derivatives.

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

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

x

y

x>0

x y=1

x+y

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

[x]

x

x=k, k

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

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