Derivada de e^(6*x)*sin(5*x)
Solução passo a passo instantânea para e^(6*x)*sin(5*x)
Derivative of e^(6*x)*sin(5*x)
- Answer
- 5*cos(5*x)*e^(6*x)+6*e^(6*x)*sin(5*x)
- Rule Used
- Product Rule
- Steps
- Identify a product of two functions: use the product rule (uv)' = u'v + uv'.
- Differentiate each factor and combine.
- Final answer: 5*cos(5*x)*e^(6*x)+6*e^(6*x)*sin(5*x)
Share this result
Derivative of e^(6*x)*sin(5*x) = 5*cos(5*x)*e^(6*x)+6*e^(6*x)*sin(5*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-6xsin5x
Como encontrar a derivada de e^(6*x)*sin(5*x)
Para encontrar a derivada de e^(6*x)*sin(5*x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de 1/sqrt(1-x^2)
Resolver d/dx 1/sqrt(1-x^2)
Derivada de 1/sqrt(10-x^2)
Resolver d/dx 1/sqrt(10-x^2)
Derivada de 1/sqrt(2-x^2)
Resolver d/dx 1/sqrt(2-x^2)
Derivada de 1/sqrt(3-x^2)
Resolver d/dx 1/sqrt(3-x^2)
Derivada de 1/sqrt(4-x^2)
Resolver d/dx 1/sqrt(4-x^2)
Derivada de 1/sqrt(5-x^2)
Resolver d/dx 1/sqrt(5-x^2)
Derivada de 1/sqrt(6-x^2)
Resolver d/dx 1/sqrt(6-x^2)
Derivada de 1/sqrt(7-x^2)
Resolver d/dx 1/sqrt(7-x^2)
Derivada de 1/sqrt(8-x^2)
Resolver d/dx 1/sqrt(8-x^2)
Derivada de 1/sqrt(9-x^2)
Resolver d/dx 1/sqrt(9-x^2)