Derivada de e^(7*x)*sin(4*x)

Solução passo a passo instantânea para e^(7*x)*sin(4*x)

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

Graph

Derivative of e^(7*x)*sin(4*x)

Answer
4*cos(4*x)*e^(7*x)+7*e^(7*x)*sin(4*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: 4*cos(4*x)*e^(7*x)+7*e^(7*x)*sin(4*x)
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Derivative of e^(7*x)*sin(4*x) = 4*cos(4*x)*e^(7*x)+7*e^(7*x)*sin(4*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-7xsin4x

Como encontrar a derivada de e^(7*x)*sin(4*x)

Para encontrar a derivada de e^(7*x)*sin(4*x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.