Derivada de cos(ln(x))
Answer
-sin(ln(x))*x^(-1)
Derivative of cos(ln(x))
- 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: -*
A derivada de cos(ln(x)) é -sin(ln(x))*x^(-1).
Solução passo a passo instantânea para cos(ln(x))
Share this result
Derivative of cos(ln(x)) = -sin(ln(x))*x^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-coslnx
Como encontrar a derivada de cos(ln(x))
Para encontrar a derivada de cos(ln(x)), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de e^(-x)
Resolver d/dx e^(-x)
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
Frequently Asked Questions
What is the derivative of cos(ln(x))?▼
The derivative of cos(ln(x)) is -sin(ln(x))*x^(-1).
How do you find the derivative of cos(ln(x))?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -sin(ln(x))*x^(-1).
Why is the derivative of cos(ln(x)) equal to -sin(ln(x))*x^(-1)?▼
Because differentiation measures how a function changes — applying the rules to cos(ln(x)) yields -sin(ln(x))*x^(-1). See the full step-by-step breakdown above.