Derivada de 5*cos(x)
Answer
-5*sin(x)
Derivative of 5*cos(x)
- Rule Used
- Constant Multiple Rule
- Steps
- os(x) is a constant times a function of x. The constant is a fixed stretch of the slope, so it factors out and the remaining function is differentiated.
- Final answer: -in(x)
La derivada de 5*cos(x) es -5*sin(x).
Solución paso a paso instantánea para 5*cos(x)
Share this result
Derivative of 5*cos(x) = -5*sin(x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-5cosx
Cómo encontrar la derivada de 5*cos(x)
Para encontrar la derivada de 5*cos(x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de tan(x)^2
Resolver d/dx tan(x)^2
Derivada de tan(x)
Resolver d/dx tan(x)
Derivada de tanh(x)
Resolver d/dx tanh(x)
Derivada de x*cos(x)
Resolver d/dx x*cos(x)
Derivada de x*sin(x)
Resolver d/dx x*sin(x)
Derivada de 1-x
Resolver d/dx 1-x
Derivada de 1/x
Resolver d/dx 1/x
Derivada de 1/x^2
Resolver d/dx 1/x^2
Derivada de 10^x
Resolver d/dx 10^x
Derivada de 2^x
Resolver d/dx 2^x
Frequently Asked Questions
What is the derivative of 5*cos(x)?▼
The derivative of 5*cos(x) is -5*sin(x).
How do you find the derivative of 5*cos(x)?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is -5*sin(x).
Why is the derivative of 5*cos(x) equal to -5*sin(x)?▼
Because differentiation measures how a function changes — applying the rules to 5*cos(x) yields -5*sin(x). See the full step-by-step breakdown above.