If $y=x^{x^{x^{x^{x^{...}}}}}$, then $\frac{d y}{d x}$ is equal to

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

y=x^{x^{x^{x^{x^{...}}}}}

, then

\frac{d y}{d x}

is equal to

View answer and explanation

Correct option: C

\frac{y}{x(1+y \log x)}

Option B is correct because it is derived by taking the logarithm of both sides and then differentiating implicitly.

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