Derivative of x^8
Answer
8*x^7
Derivative of x^8
- 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^8 is 8*x^7.
Instant step-by-step solution for x^8
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How to find the derivative of x^8
To find the derivative of x^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 x^8?▼
The derivative of x^8 is 8*x^7.
How do you find the derivative of x^8?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 8*x^7.
Why is the derivative of x^8 equal to 8*x^7?▼
Because differentiation measures how a function changes — applying the rules to x^8 yields 8*x^7. See the full step-by-step breakdown above.