Derivada de cos(x^3)
Answer
-3*sin(x^3)*x^2
Derivative of cos(x^3)
- 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(x^3) es -3*sin(x^3)*x^2.
Solución paso a paso instantánea para cos(x^3)
Share this result
Derivative of cos(x^3) = -3*sin(x^3)*x^2 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-cosx-minus-to-minus-the-minus-3
Cómo encontrar la derivada de cos(x^3)
Para encontrar la derivada de cos(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 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
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)
Frequently Asked Questions
What is the derivative of cos(x^3)?▼
The derivative of cos(x^3) is -3*sin(x^3)*x^2.
How do you find the derivative of cos(x^3)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -3*sin(x^3)*x^2.
Why is the derivative of cos(x^3) equal to -3*sin(x^3)*x^2?▼
Because differentiation measures how a function changes — applying the rules to cos(x^3) yields -3*sin(x^3)*x^2. See the full step-by-step breakdown above.