Derivada de x^8
Answer
8*x^7
Derivative of x^8
- Rule Used
- Power Rule
- Steps
- Apply the power rule: () = . The exponent counts how many factors of x are multiplied, so one factor is lost and the count moves in front.
- Simplify the exponent:
- Final answer:
A derivada de x^8 é 8*x^7.
Solução passo a passo instantânea para x^8
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Derivative of x^8 = 8*x^7 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-8
Como encontrar a derivada de x^8
Para encontrar a derivada de x^8, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
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Frequently Asked Questions
What is the derivative of x^8?▼
The derivative of x^8 is 8*x^7.
How do you find the derivative of x^8?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 8*x^7.
Why is the derivative of x^8 equal to 8*x^7?▼
Because differentiation measures how a function changes — applying the rules to x^8 yields 8*x^7. See the full step-by-step breakdown above.