Derivada de e^(3*x)*cos(5*x)

Solução passo a passo instantânea para e^(3*x)*cos(5*x)

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

Graph

Derivative of e^(3*x)*cos(5*x)

Answer
-5*e^(3*x)*sin(5*x)+3*cos(5*x)*e^(3*x)
Rule Used
Product Rule
Steps
  1. Identify a product of two functions: use the product rule (uv)' = u'v + uv'.
  2. Differentiate each factor and combine.
  3. Final answer: -5*e^(3*x)*sin(5*x)+3*cos(5*x)*e^(3*x)
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Derivative of e^(3*x)*cos(5*x) = -5*e^(3*x)*sin(5*x)+3*cos(5*x)*e^(3*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-3xcos5x

Como encontrar a derivada de e^(3*x)*cos(5*x)

Para encontrar a derivada de e^(3*x)*cos(5*x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.