Derivada de ln(cos(x))

Solución paso a paso instantánea para ln(cos(x))

DerivativeLogarithmicIntermediate

Solution

AI Explanation

Rule used: Chain Rule.

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Derivative of ln(cos(x))

Answer
-cos(x)^(-1)*sin(x)
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: -cos(x)^(-1)*sin(x)
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Derivative of ln(cos(x)) = -cos(x)^(-1)*sin(x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-lncosx

Cómo encontrar la derivada de ln(cos(x))

Para encontrar la derivada de ln(cos(x)), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

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