Derivative of x^5
Answer
5*x^4
Derivative of x^5
- Rule Used
- Power Rule
- Steps
- Apply the power rule: () = . The exponent counts how many factors of x are multiplied, so one factor is lost and the count moves in front.
- Simplify the exponent:
- Final answer:
The derivative of x^5 is 5*x^4.
Instant step-by-step solution for x^5
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Derivative of x^5 = 5*x^4 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-5
How to find the derivative of x^5
To find the derivative of x^5, 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^5?▼
The derivative of x^5 is 5*x^4.
How do you find the derivative of x^5?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 5*x^4.
Why is the derivative of x^5 equal to 5*x^4?▼
Because differentiation measures how a function changes — applying the rules to x^5 yields 5*x^4. See the full step-by-step breakdown above.