Derivative of x^7 + x^6
Answer
6*x^5+7*x^6
Derivative of x^7 + x^6
- 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^7 + x^6 is 6*x^5+7*x^6.
Instant step-by-step solution for x^7 + x^6
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Derivative of x^7 + x^6 = 6*x^5+7*x^6 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-7-minus-minus-plus-minus-minus-x-minus-to-minus-the-minus-6
How to find the derivative of x^7 + x^6
To find the derivative of x^7 + x^6, 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^7 + x^6?▼
The derivative of x^7 + x^6 is 6*x^5+7*x^6.
How do you find the derivative of x^7 + x^6?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 6*x^5+7*x^6.
Why is the derivative of x^7 + x^6 equal to 6*x^5+7*x^6?▼
Because differentiation measures how a function changes — applying the rules to x^7 + x^6 yields 6*x^5+7*x^6. See the full step-by-step breakdown above.