Derivative of x^5-x^2
Answer
-2*x+5*x^4
Derivative of x^5-x^2
- 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^5-x^2 is -2*x+5*x^4.
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Derivative of x^5-x^2 = -2*x+5*x^4 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-5-minus-x-minus-to-minus-the-minus-2
How to find the derivative of x^5-x^2
To find the derivative of x^5-x^2, 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^5-x^2?▼
The derivative of x^5-x^2 is -2*x+5*x^4.
How do you find the derivative of x^5-x^2?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -2*x+5*x^4.
Why is the derivative of x^5-x^2 equal to -2*x+5*x^4?▼
Because differentiation measures how a function changes — applying the rules to x^5-x^2 yields -2*x+5*x^4. See the full step-by-step breakdown above.