Derivada de x^2*e^x*cos(x)

Solução passo a passo instantânea para x^2*e^x*cos(x)

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

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Derivative of x^2*e^x*cos(x)

Answer
-e^x*sin(x)*x^2+2*cos(x)*e^x*x+cos(x)*e^x*x^2
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: -e^x*sin(x)*x^2+2*cos(x)*e^x*x+cos(x)*e^x*x^2
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Derivative of x^2*e^x*cos(x) = -e^x*sin(x)*x^2+2*cos(x)*e^x*x+cos(x)*e^x*x^2 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-2e-minus-to-minus-the-minus-xcosx

Como encontrar a derivada de x^2*e^x*cos(x)

Para encontrar a derivada de x^2*e^x*cos(x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.