Derivada de x^(3/2)

Answer

3⋅x122\frac{3 \cdot x^{\frac{1}{2}}}{2}
(3/2)*x^(1/2)

Derivative of x^(3/2)

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: (3/2)*x1/2x^{1/2}

A derivada de x^(3/2) é (3/2)*x^(1/2).

Solução passo a passo instantânea para x^(3/2)

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Derivative of x^(3/2) = (3/2)*x^(1/2) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-3-minus-over-minus-2

Como encontrar a derivada de x^(3/2)

Para encontrar a derivada de x^(3/2), 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^(3/2)?▼
The derivative of x^(3/2) is (3/2)*x^(1/2).
How do you find the derivative of x^(3/2)?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is (3/2)*x^(1/2).
Why is the derivative of x^(3/2) equal to (3/2)*x^(1/2)?▼
Because differentiation measures how a function changes — applying the rules to x^(3/2) yields (3/2)*x^(1/2). See the full step-by-step breakdown above.