Derivative of x^x
Answer
(1+ln(x))*x^x
Derivative of x^x
- Rule Used
- Power Rule
- Steps
- Identify the expression as a power function and apply the power rule. A rational exponent is allowed: ^(p/q) = (p/q)·.
- Final answer: (1+)*x^x
The derivative of x^x is (1+ln(x))*x^x.
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How to find the derivative of x^x
To find the derivative of x^x, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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Frequently Asked Questions
What is the derivative of x^x?▼
The derivative of x^x is (1+ln(x))*x^x.
How do you find the derivative of x^x?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is (1+ln(x))*x^x.
Why is the derivative of x^x equal to (1+ln(x))*x^x?▼
Because differentiation measures how a function changes — applying the rules to x^x yields (1+ln(x))*x^x. See the full step-by-step breakdown above.