Derivative of x^ln(x)
- Answer
- 2*log(x)*x^(-1+log(x))
- Rule Used
- Logarithmic Rule
- Steps
- Recognize the natural logarithm log(x).
- Apply the rule: d/dx log(x) = 1/x.
- Final answer: 2*log(x)*x^(-1+log(x))
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Derivative of x^ln(x) = 2*log(x)*x^(-1+log(x)) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-lnx
How to find the derivative of x^ln(x)
To find the derivative of x^ln(x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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