Derivative of (x^2-4)^3
- Answer
- 6*(-4+x^2)^2*x
- Rule Used
- Chain Rule
- Steps
- Identify a composite function: use the chain rule d/dx f(g(x)) = f'(g(x))·g'(x).
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: 6*(-4+x^2)^2*x
Share this result
Derivative of (x^2-4)^3 = 6*(-4+x^2)^2*x Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-2-minus-4-minus-to-minus-the-minus-3
Cómo encontrar la derivada de (x^2-4)^3
Para encontrar la derivada de (x^2-4)^3, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de 1/sqrt(1-x^2)
Resolver d/dx 1/sqrt(1-x^2)
Derivada de 1/sqrt(10-x^2)
Resolver d/dx 1/sqrt(10-x^2)
Derivada de 1/sqrt(2-x^2)
Resolver d/dx 1/sqrt(2-x^2)
Derivada de 1/sqrt(3-x^2)
Resolver d/dx 1/sqrt(3-x^2)
Derivada de 1/sqrt(4-x^2)
Resolver d/dx 1/sqrt(4-x^2)
Derivada de 1/sqrt(5-x^2)
Resolver d/dx 1/sqrt(5-x^2)
Derivada de 1/sqrt(6-x^2)
Resolver d/dx 1/sqrt(6-x^2)
Derivada de 1/sqrt(7-x^2)
Resolver d/dx 1/sqrt(7-x^2)
Derivada de 1/sqrt(8-x^2)
Resolver d/dx 1/sqrt(8-x^2)
Derivada de 1/sqrt(9-x^2)
Resolver d/dx 1/sqrt(9-x^2)