Derivative of 6x^6
Answer
36*x^5
Derivative of 6x^6
- 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 6*x^6 is 36*x^5.
Instant step-by-step solution for 6x^6
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Derivative of 6x^6 = 36*x^5 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-6x-minus-to-minus-the-minus-6
How to find the derivative of 6x^6
To find the derivative of 6x^6, 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 6x^6?▼
The derivative of 6x^6 is 36*x^5.
How do you find the derivative of 6x^6?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 36*x^5.
Why is the derivative of 6x^6 equal to 36*x^5?▼
Because differentiation measures how a function changes — applying the rules to 6x^6 yields 36*x^5. See the full step-by-step breakdown above.