If $y = \log {x^x},$ then the value of $\frac{{dy}}{{dx}}$ is

$\log \left( {\frac{e}{x}} \right)$

$\log \left( {\frac{x}{e}} \right)$

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

y = \log {x^x},

then the value of

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

View answer and explanation

Correct option: B

\log \left( {ex} \right)

Option B (log(ex)) is correct because simplifying y and then differentiating gives log(ex).

Practice All Chapter MCQs →

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