Derivada de 6*cos(x)
Answer
-6*sin(x)
Derivative of 6*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 6*cos(x) es -6*sin(x).
Solución paso a paso instantánea para 6*cos(x)
Share this result
Derivative of 6*cos(x) = -6*sin(x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-6cosx
Cómo encontrar la derivada de 6*cos(x)
Para encontrar la derivada de 6*cos(x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de asin(x)
Resolver d/dx asin(x)
Derivada de atan(x)
Resolver d/dx atan(x)
Derivada de x^(1/3)
Resolver d/dx x^(1/3)
Derivada de e^(2x)
Resolver d/dx e^(2x)
Derivada de e^(-x)
Resolver d/dx e^(-x)
Derivada de e^x
Resolver d/dx e^x
Derivada de ln(2x)
Resolver d/dx ln(2x)
Derivada de ln(x)
Resolver d/dx ln(x)
Derivada de -x
Resolver d/dx -x
Frequently Asked Questions
What is the derivative of 6*cos(x)?▼
The derivative of 6*cos(x) is -6*sin(x).
How do you find the derivative of 6*cos(x)?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is -6*sin(x).
Why is the derivative of 6*cos(x) equal to -6*sin(x)?▼
Because differentiation measures how a function changes — applying the rules to 6*cos(x) yields -6*sin(x). See the full step-by-step breakdown above.