Derivada de ln(x^2-4)
Answer
2*(-4+x^2)^(-1)*x
Derivative of ln(x^2-4)
- 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: 2*(-4+)^(-1)*x
A derivada de ln(x^2-4) é 2*(-4+x^2)^(-1)*x.
Solução passo a passo instantânea para ln(x^2-4)
Share this result
Derivative of ln(x^2-4) = 2*(-4+x^2)^(-1)*x Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-lnx-minus-to-minus-the-minus-2-minus-4
Como encontrar a derivada de ln(x^2-4)
Para encontrar a derivada de ln(x^2-4), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de sqrt(x)
Resolver d/dx sqrt(x)
Derivada de tan(x)^2
Resolver d/dx tan(x)^2
Derivada de tan(x)
Resolver d/dx tan(x)
Derivada de tanh(x)
Resolver d/dx tanh(x)
Derivada de x*cos(x)
Resolver d/dx x*cos(x)
Derivada de x^3
Resolver d/dx x^3
Derivada de x*e^x
Resolver d/dx x*e^x
Derivada de x+1
Resolver d/dx x+1
Derivada de x*sin(x)
Resolver d/dx x*sin(x)
Derivada de x^2
Resolver d/dx x^2
Frequently Asked Questions
What is the derivative of ln(x^2-4)?▼
The derivative of ln(x^2-4) is 2*(-4+x^2)^(-1)*x.
How do you find the derivative of ln(x^2-4)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 2*(-4+x^2)^(-1)*x.
Why is the derivative of ln(x^2-4) equal to 2*(-4+x^2)^(-1)*x?▼
Because differentiation measures how a function changes — applying the rules to ln(x^2-4) yields 2*(-4+x^2)^(-1)*x. See the full step-by-step breakdown above.