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