Derivada de x^(13/2)

Answer

13⋅x1122\frac{13 \cdot x^{\frac{11}{2}}}{2}
(13/2)*x^(11/2)

Derivative of x^(13/2)

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: (13/2)*x11/2x^{11/2}

La derivada de x^(13/2) es (13/2)*x^(11/2).

Solución paso a paso instantánea para x^(13/2)

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Derivative of x^(13/2) = (13/2)*x^(11/2) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-13-minus-over-minus-2

Cómo encontrar la derivada de x^(13/2)

Para encontrar la derivada de x^(13/2), 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^(13/2)?▼
The derivative of x^(13/2) is (13/2)*x^(11/2).
How do you find the derivative of x^(13/2)?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is (13/2)*x^(11/2).
Why is the derivative of x^(13/2) equal to (13/2)*x^(11/2)?▼
Because differentiation measures how a function changes — applying the rules to x^(13/2) yields (13/2)*x^(11/2). See the full step-by-step breakdown above.