Derivada de 1/x^3
Answer
-3*x^(-4)
Derivative of 1/x^3
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient in 1/: use the quotient rule (u/v)' = (u'v − uv')/v². The minus sign belongs to the derivative of the denominator; swapping it is the usual error.
- Differentiate numerator and denominator, then combine.
- Final answer: -
La derivada de 1/x^3 es -3*x^(-4).
Solución paso a paso instantánea para 1/x^3
Share this result
Derivative of 1/x^3 = -3*x^(-4) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-1-minus-over-minus-x-minus-to-minus-the-minus-3
Cómo encontrar la derivada de 1/x^3
Para encontrar la derivada de 1/x^3, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de x*sin(x)
Resolver d/dx x*sin(x)
Derivada de x^2
Resolver d/dx x^2
Derivada de x^2-1
Resolver d/dx x^2-1
Derivada de x^2+1
Resolver d/dx x^2+1
Derivada de x^4
Resolver d/dx x^4
Derivada de 1/x
Resolver d/dx 1/x
Derivada de 1/x^2
Resolver d/dx 1/x^2
Derivada de x^(1/3)
Resolver d/dx x^(1/3)
Derivada de x^(1/2)
Resolver d/dx x^(1/2)
Derivada de 1-x
Resolver d/dx 1-x
Frequently Asked Questions
What is the derivative of 1/x^3?▼
The derivative of 1/x^3 is -3*x^(-4).
How do you find the derivative of 1/x^3?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -3*x^(-4).
Why is the derivative of 1/x^3 equal to -3*x^(-4)?▼
Because differentiation measures how a function changes — applying the rules to 1/x^3 yields -3*x^(-4). See the full step-by-step breakdown above.