Derivada de x^(5/2)

Answer

5⋅x322\frac{5 \cdot x^{\frac{3}{2}}}{2}
(5/2)*x^(3/2)

Derivative of x^(5/2)

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: (5/2)*x3/2x^{3/2}

La derivada de x^(5/2) es (5/2)*x^(3/2).

Solución paso a paso instantánea para x^(5/2)

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Derivative of x^(5/2) = (5/2)*x^(3/2) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-5-minus-over-minus-2

Cómo encontrar la derivada de x^(5/2)

Para encontrar la derivada de x^(5/2), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

Frequently Asked Questions

What is the derivative of x^(5/2)?▼
The derivative of x^(5/2) is (5/2)*x^(3/2).
How do you find the derivative of x^(5/2)?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is (5/2)*x^(3/2).
Why is the derivative of x^(5/2) equal to (5/2)*x^(3/2)?▼
Because differentiation measures how a function changes — applying the rules to x^(5/2) yields (5/2)*x^(3/2). See the full step-by-step breakdown above.