Derivative of 10*x^10
Answer
100*x^9
Derivative of 10*x^10
- 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 10*x^10 is 100*x^9.
Instant step-by-step solution for 10*x^10
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Derivative of 10*x^10 = 100*x^9 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-10x-minus-to-minus-the-minus-10
How to find the derivative of 10*x^10
To find the derivative of 10*x^10, 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 10*x^10?▼
The derivative of 10*x^10 is 100*x^9.
How do you find the derivative of 10*x^10?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 100*x^9.
Why is the derivative of 10*x^10 equal to 100*x^9?▼
Because differentiation measures how a function changes — applying the rules to 10*x^10 yields 100*x^9. See the full step-by-step breakdown above.