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