Derivative of 8x^8
Answer
64*x^7
Derivative of 8x^8
- 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 8*x^8 is 64*x^7.
Instant step-by-step solution for 8x^8
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Derivative of 8x^8 = 64*x^7 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-8x-minus-to-minus-the-minus-8
How to find the derivative of 8x^8
To find the derivative of 8x^8, 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 8x^8?▼
The derivative of 8x^8 is 64*x^7.
How do you find the derivative of 8x^8?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 64*x^7.
Why is the derivative of 8x^8 equal to 64*x^7?▼
Because differentiation measures how a function changes — applying the rules to 8x^8 yields 64*x^7. See the full step-by-step breakdown above.