Derivada de 7/x
Answer
-7*x^(-2)
Derivative of 7/x
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient in 7/x: 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 7/x es -7*x^(-2).
Solución paso a paso instantánea para 7/x
Share this result
Derivative of 7/x = -7*x^(-2) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-7-minus-over-minus-x
Cómo encontrar la derivada de 7/x
Para encontrar la derivada de 7/x, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de 1-x
Resolver d/dx 1-x
Derivada de 10^x
Resolver d/dx 10^x
Derivada de 2^x
Resolver d/dx 2^x
Derivada de 2x
Resolver d/dx 2x
Derivada de 3x^2
Resolver d/dx 3x^2
Derivada de 5x
Resolver d/dx 5x
Derivada de Abs(x)
Resolver d/dx Abs(x)
Derivada de acos(x)
Resolver d/dx acos(x)
Derivada de asin(x)
Resolver d/dx asin(x)
Derivada de atan(x)
Resolver d/dx atan(x)
Frequently Asked Questions
What is the derivative of 7/x?▼
The derivative of 7/x is -7*x^(-2).
How do you find the derivative of 7/x?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -7*x^(-2).
Why is the derivative of 7/x equal to -7*x^(-2)?▼
Because differentiation measures how a function changes — applying the rules to 7/x yields -7*x^(-2). See the full step-by-step breakdown above.