Derivada de x^(1/10)

Answer

110⋅x910\frac{1}{10 \cdot x^{\frac{9}{10}}}
(1/10)*x^(-9/10)

Derivative of x^(1/10)

Rule Used
Power Rule
Steps
  1. Identify the expression as a power function and apply the power rule. A rational exponent is allowed: ddxx\frac{d}{dx} x^(p/q) = (p/q)·xp/q−1x^{p/q - 1}.
  2. Final answer: (1/10)*x−9/10x^{-9/10}

A derivada de x^(1/10) é (1/10)*x^(-9/10).

Solução passo a passo instantânea para x^(1/10)

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Derivative of x^(1/10) = (1/10)*x^(-9/10) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-1-minus-over-minus-10

Como encontrar a derivada de x^(1/10)

Para encontrar a derivada de x^(1/10), 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^(1/10)?▼
The derivative of x^(1/10) is (1/10)*x^(-9/10).
How do you find the derivative of x^(1/10)?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is (1/10)*x^(-9/10).
Why is the derivative of x^(1/10) equal to (1/10)*x^(-9/10)?▼
Because differentiation measures how a function changes — applying the rules to x^(1/10) yields (1/10)*x^(-9/10). See the full step-by-step breakdown above.