Derivada de x^(1/6)
Answer
(1/6)*x^(-5/6)
Derivative of x^(1/6)
- 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: (1/6)*
La derivada de x^(1/6) es (1/6)*x^(-5/6).
Solución paso a paso instantánea para x^(1/6)
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Derivative of x^(1/6) = (1/6)*x^(-5/6) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-1-minus-over-minus-6
Cómo encontrar la derivada de x^(1/6)
Para encontrar la derivada de x^(1/6), 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^(1/6)?▼
The derivative of x^(1/6) is (1/6)*x^(-5/6).
How do you find the derivative of x^(1/6)?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is (1/6)*x^(-5/6).
Why is the derivative of x^(1/6) equal to (1/6)*x^(-5/6)?▼
Because differentiation measures how a function changes — applying the rules to x^(1/6) yields (1/6)*x^(-5/6). See the full step-by-step breakdown above.