Derivada de e^(cos(x))

Solución paso a paso instantánea para e^(cos(x))

DerivativeExponentialIntermediate

Solution

AI Explanation

Rule used: Exponential Rule.

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Derivative of e^(cos(x))

Answer
-e^cos(x)*sin(x)
Rule Used
Exponential Rule
Steps
  1. Recognize the exponential function.
  2. Apply the rule: d/dx e^(f(x)) = f'(x)·e^(f(x)).
  3. Final answer: -e^cos(x)*sin(x)
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Derivative of e^(cos(x)) = -e^cos(x)*sin(x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-e-minus-to-minus-the-minus-cosx

Cómo encontrar la derivada de e^(cos(x))

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

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