Question:medium
Derivative of $x^{x}$ is
Derivative of $x^{x}$ is
Show Hint
For functions of the form $[f(x)]^{g(x)}$, always use logarithmic differentiation: take $\ln$ on both sides, differentiate, then multiply by $y$.
Updated On: Apr 8, 2026
- $x^{x}(1 - \log x)$
- $1 + \log x$
- $x^{x}(1 + \log x)$
- $1 - \log x$
Show Solution
The Correct Option is C
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