The derivative of $y = {x^{{\rm{In}}\,x}}$ is

$2{x^{{\rm{In}}\,\,x - 1}}$ In $x$

${x^{{\rm{In}}\,\,x - 1}}$ In $x$

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Medium

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Application +4 | -1

The derivative of

y = {x^{\mathrm{In}\,x}}

View answer and explanation

Correct option: C

2{x^{\mathrm{In}\,\,x - 1}}

x

Option C (

2{x^{\mathrm{In}\,x - 1}}

x

) is the correct derivative, obtained by logarithmic differentiation.

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