Derivative of 4x^4
Answer
16*x^3
Derivative of 4x^4
- 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 4*x^4 is 16*x^3.
Instant step-by-step solution for 4x^4
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Derivative of 4x^4 = 16*x^3 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-4x-minus-to-minus-the-minus-4
How to find the derivative of 4x^4
To find the derivative of 4x^4, 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 4x^4?▼
The derivative of 4x^4 is 16*x^3.
How do you find the derivative of 4x^4?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 16*x^3.
Why is the derivative of 4x^4 equal to 16*x^3?▼
Because differentiation measures how a function changes — applying the rules to 4x^4 yields 16*x^3. See the full step-by-step breakdown above.