Derivative of 5x^5
Answer
25*x^4
Derivative of 5x^5
- Rule Used
- Constant Multiple Rule
- Steps
- is a constant times a function of x. The constant is a fixed stretch of the slope, so it factors out and the remaining function is differentiated.
- Final answer:
The derivative of 5*x^5 is 25*x^4.
Instant step-by-step solution for 5x^5
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Derivative of 5x^5 = 25*x^4 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-5x-minus-to-minus-the-minus-5
How to find the derivative of 5x^5
To find the derivative of 5x^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 5x^5?▼
The derivative of 5x^5 is 25*x^4.
How do you find the derivative of 5x^5?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 25*x^4.
Why is the derivative of 5x^5 equal to 25*x^4?▼
Because differentiation measures how a function changes — applying the rules to 5x^5 yields 25*x^4. See the full step-by-step breakdown above.