Derivada de 8x^8

Answer

64⋅x764 \cdot x^{7}
64*x^7

Derivative of 8x^8

Rule Used
Constant Multiple Rule
Steps
  1. 8⋅x88 \cdot x^8 is a constant times a function of x. The constant is a fixed stretch of the slope, so it factors out and the remaining function is differentiated.
  2. Final answer: 64⋅x764 \cdot x^7

A derivada de 8*x^8 é 64*x^7.

Solução passo a passo instantânea para 8x^8

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Derivative of 8x^8 = 64*x^7 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-8x-minus-to-minus-the-minus-8

Como encontrar a derivada de 8x^8

Para encontrar a derivada de 8x^8, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

Frequently Asked Questions

What is the derivative of 8x^8?▼
The derivative of 8x^8 is 64*x^7.
How do you find the derivative of 8x^8?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 64*x^7.
Why is the derivative of 8x^8 equal to 64*x^7?▼
Because differentiation measures how a function changes — applying the rules to 8x^8 yields 64*x^7. See the full step-by-step breakdown above.