Derivative of x^3-x
Answer
-1+3*x^2
Derivative of x^3-x
- Rule Used
- Sum Rule
- Steps
- Differentiate -x 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: -1+
The derivative of x^3-x is -1+3*x^2.
Instant step-by-step solution for x^3-x
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How to find the derivative of x^3-x
To find the derivative of x^3-x, 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^3-x?▼
The derivative of x^3-x is -1+3*x^2.
How do you find the derivative of x^3-x?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -1+3*x^2.
Why is the derivative of x^3-x equal to -1+3*x^2?▼
Because differentiation measures how a function changes — applying the rules to x^3-x yields -1+3*x^2. See the full step-by-step breakdown above.