Derivada de 6x^6

Answer

36⋅x536 \cdot x^{5}
36*x^5

Derivative of 6x^6

Rule Used
Constant Multiple Rule
Steps
  1. 6⋅x66 \cdot x^6 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: 36⋅x536 \cdot x^5

A derivada de 6*x^6 é 36*x^5.

Solução passo a passo instantânea para 6x^6

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Derivative of 6x^6 = 36*x^5 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-6x-minus-to-minus-the-minus-6

Como encontrar a derivada de 6x^6

Para encontrar a derivada de 6x^6, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

Frequently Asked Questions

What is the derivative of 6x^6?▼
The derivative of 6x^6 is 36*x^5.
How do you find the derivative of 6x^6?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 36*x^5.
Why is the derivative of 6x^6 equal to 36*x^5?▼
Because differentiation measures how a function changes — applying the rules to 6x^6 yields 36*x^5. See the full step-by-step breakdown above.