Derivada de sin(4*x)*cos(4*x)

Solução passo a passo instantânea para sin(4*x)*cos(4*x)

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

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Derivative of sin(4*x)*cos(4*x)

Answer
-4*sin(4*x)^2+4*cos(4*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: -4*sin(4*x)^2+4*cos(4*x)^2
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Derivative of sin(4*x)*cos(4*x) = -4*sin(4*x)^2+4*cos(4*x)^2 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-sin4xcos4x

Como encontrar a derivada de sin(4*x)*cos(4*x)

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