Derivative of 7x^7
Answer
49*x^6
Derivative of 7x^7
- 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 7*x^7 is 49*x^6.
Instant step-by-step solution for 7x^7
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Derivative of 7x^7 = 49*x^6 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-7x-minus-to-minus-the-minus-7
How to find the derivative of 7x^7
To find the derivative of 7x^7, 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 7x^7?▼
The derivative of 7x^7 is 49*x^6.
How do you find the derivative of 7x^7?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 49*x^6.
Why is the derivative of 7x^7 equal to 49*x^6?▼
Because differentiation measures how a function changes — applying the rules to 7x^7 yields 49*x^6. See the full step-by-step breakdown above.