Derivative of 3x^3
Answer
9*x^2
Derivative of 3x^3
- 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 3*x^3 is 9*x^2.
Instant step-by-step solution for 3x^3
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Derivative of 3x^3 = 9*x^2 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-3x-minus-to-minus-the-minus-3
How to find the derivative of 3x^3
To find the derivative of 3x^3, 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 3x^3?▼
The derivative of 3x^3 is 9*x^2.
How do you find the derivative of 3x^3?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 9*x^2.
Why is the derivative of 3x^3 equal to 9*x^2?▼
Because differentiation measures how a function changes — applying the rules to 3x^3 yields 9*x^2. See the full step-by-step breakdown above.