Derivative of x^10 + x^9
Answer
10*x^9+9*x^8
Derivative of x^10 + x^9
- 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^10 + x^9 is 10*x^9+9*x^8.
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Derivative of x^10 + x^9 = 10*x^9+9*x^8 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-10-minus-minus-plus-minus-minus-x-minus-to-minus-the-minus-9
How to find the derivative of x^10 + x^9
To find the derivative of x^10 + x^9, 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^10 + x^9?▼
The derivative of x^10 + x^9 is 10*x^9+9*x^8.
How do you find the derivative of x^10 + x^9?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 10*x^9+9*x^8.
Why is the derivative of x^10 + x^9 equal to 10*x^9+9*x^8?▼
Because differentiation measures how a function changes — applying the rules to x^10 + x^9 yields 10*x^9+9*x^8. See the full step-by-step breakdown above.