Derivada de 18*x^18

Answer

324⋅x17324 \cdot x^{17}
324*x^17

Derivative of 18*x^18

Rule Used
Constant Multiple Rule
Steps
  1. 18⋅x1818 \cdot x^18 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: 324⋅x17324 \cdot x^17

A derivada de 18*x^18 é 324*x^17.

Solução passo a passo instantânea para 18*x^18

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Derivative of 18*x^18 = 324*x^17 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-18x-minus-to-minus-the-minus-18

Como encontrar a derivada de 18*x^18

Para encontrar a derivada de 18*x^18, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

Frequently Asked Questions

What is the derivative of 18*x^18?▼
The derivative of 18*x^18 is 324*x^17.
How do you find the derivative of 18*x^18?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 324*x^17.
Why is the derivative of 18*x^18 equal to 324*x^17?▼
Because differentiation measures how a function changes — applying the rules to 18*x^18 yields 324*x^17. See the full step-by-step breakdown above.