Derivada de x^18 - x

Answer

18⋅x17−118 \cdot x^{17}-1
-1+18*x^17

Derivative of x^18 - x

Rule Used
Sum Rule
Steps
  1. Differentiate x18x^18-x term by term. The sum rule says the derivative of a sum is the sum of the derivatives, and the derivative of a constant term is 0, so that term disappears.
  2. Final answer: -1+18⋅x1718 \cdot x^17

A derivada de x^18 - x é -1+18*x^17.

Solução passo a passo instantânea para x^18 - x

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Derivative of x^18 - x = -1+18*x^17 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-18-minus-minus-minus-x

Como encontrar a derivada de x^18 - x

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

Frequently Asked Questions

What is the derivative of x^18 - x?▼
The derivative of x^18 - x is -1+18*x^17.
How do you find the derivative of x^18 - x?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -1+18*x^17.
Why is the derivative of x^18 - x equal to -1+18*x^17?▼
Because differentiation measures how a function changes — applying the rules to x^18 - x yields -1+18*x^17. See the full step-by-step breakdown above.