Derivada de x^18

Answer

18⋅x1718 \cdot x^{17}
18*x^17

Derivative of x^18

Rule Used
Power Rule
Steps
  1. Apply the power rule: ddx\frac{d}{dx}(x18x^18) = 18⋅x18−118\cdot x^{18-1}. The exponent counts how many factors of x are multiplied, so one factor is lost and the count moves in front.
  2. Simplify the exponent: 18⋅x1718\cdot x^17
  3. Final answer: 18⋅x1718 \cdot x^17

A derivada de x^18 é 18*x^17.

Solução passo a passo instantânea para x^18

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

Como encontrar a derivada de x^18

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