Derivada de cos(9x)
Answer
-9*sin(9*x)
Derivative of cos(9x)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: -in()
La derivada de cos(9*x) es -9*sin(9*x).
Solución paso a paso instantánea para cos(9x)
Share this result
Derivative of cos(9x) = -9*sin(9*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-cos9x
Cómo encontrar la derivada de cos(9x)
Para encontrar la derivada de cos(9x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
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
Derivada de x^(1/2)
Resolver d/dx x^(1/2)
Derivada de sqrt(x)
Resolver d/dx sqrt(x)
Derivada de x^3
Resolver d/dx x^3
Derivada de x*e^x
Resolver d/dx x*e^x
Derivada de x*ln(x)
Resolver d/dx x*ln(x)
Frequently Asked Questions
What is the derivative of cos(9x)?▼
The derivative of cos(9x) is -9*sin(9*x).
How do you find the derivative of cos(9x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -9*sin(9*x).
Why is the derivative of cos(9x) equal to -9*sin(9*x)?▼
Because differentiation measures how a function changes — applying the rules to cos(9x) yields -9*sin(9*x). See the full step-by-step breakdown above.