Derivada de ln(tan(x))

Solução passo a passo instantânea para ln(tan(x))

Solution

AI Explanation

Rule used: Chain Rule.

Step-by-Step

Graph

Derivative of ln(tan(x))

Answer
sec(x)^2*tan(x)^(-1)
Rule Used
Chain Rule
Steps
  1. Identify a composite function: use the chain rule d/dx f(g(x)) = f'(g(x))·g'(x).
  2. Differentiate the outer function, then multiply by the inner derivative.
  3. Final answer: sec(x)^2*tan(x)^(-1)
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Derivative of ln(tan(x)) = sec(x)^2*tan(x)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-lntanx

Como encontrar a derivada de ln(tan(x))

Para encontrar a derivada de ln(tan(x)), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.