Derivative of ln(x^9)
- Answer
- 9*x^(-1)
- 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: 9*x^(-1)
Share this result
Derivative of ln(x^9) = 9*x^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-lnx-minus-to-minus-the-minus-9
Como encontrar a derivada de ln(x^9)
Para encontrar a derivada de ln(x^9), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais 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)