Derivative of 20*x^20
Answer
400*x^19
Derivative of 20*x^20
- 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 20*x^20 is 400*x^19.
Instant step-by-step solution for 20*x^20
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Derivative of 20*x^20 = 400*x^19 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-20x-minus-to-minus-the-minus-20
How to find the derivative of 20*x^20
To find the derivative of 20*x^20, 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 20*x^20?▼
The derivative of 20*x^20 is 400*x^19.
How do you find the derivative of 20*x^20?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 400*x^19.
Why is the derivative of 20*x^20 equal to 400*x^19?▼
Because differentiation measures how a function changes — applying the rules to 20*x^20 yields 400*x^19. See the full step-by-step breakdown above.