Derivada de x^(3/2)
Answer
(3/2)*x^(1/2)
Derivative of x^(3/2)
- Rule Used
- Power Rule
- Steps
- Identify the expression as a power function and apply the power rule. A rational exponent is allowed: ^(p/q) = (p/q)·.
- Final answer: (3/2)*
La derivada de x^(3/2) es (3/2)*x^(1/2).
Solución paso a paso instantánea 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/es/derivative-of-x-minus-to-minus-the-minus-3-minus-over-minus-2
Cómo encontrar la derivada de x^(3/2)
Para encontrar la derivada de x^(3/2), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
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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.