Derivative of x^6-x^3
Answer
-3*x^2+6*x^5
Derivative of x^6-x^3
- Rule Used
- Sum Rule
- Steps
- Differentiate - term by term. The sum rule says the derivative of a sum is the sum of the derivatives, and the derivative of a constant term is 0, so that term disappears.
- Final answer: -+
The derivative of x^6-x^3 is -3*x^2+6*x^5.
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Derivative of x^6-x^3 = -3*x^2+6*x^5 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-6-minus-x-minus-to-minus-the-minus-3
How to find the derivative of x^6-x^3
To find the derivative of x^6-x^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 x^6-x^3?▼
The derivative of x^6-x^3 is -3*x^2+6*x^5.
How do you find the derivative of x^6-x^3?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -3*x^2+6*x^5.
Why is the derivative of x^6-x^3 equal to -3*x^2+6*x^5?▼
Because differentiation measures how a function changes — applying the rules to x^6-x^3 yields -3*x^2+6*x^5. See the full step-by-step breakdown above.