Derivada de 16*x^16

Answer

256⋅x15256 \cdot x^{15}
256*x^15

Derivative of 16*x^16

Rule Used
Constant Multiple Rule
Steps
  1. 16⋅x1616 \cdot x^16 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: 256⋅x15256 \cdot x^15

A derivada de 16*x^16 é 256*x^15.

Solução passo a passo instantânea para 16*x^16

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Derivative of 16*x^16 = 256*x^15 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-16x-minus-to-minus-the-minus-16

Como encontrar a derivada de 16*x^16

Para encontrar a derivada de 16*x^16, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

Frequently Asked Questions

What is the derivative of 16*x^16?▼
The derivative of 16*x^16 is 256*x^15.
How do you find the derivative of 16*x^16?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 256*x^15.
Why is the derivative of 16*x^16 equal to 256*x^15?▼
Because differentiation measures how a function changes — applying the rules to 16*x^16 yields 256*x^15. See the full step-by-step breakdown above.