Derivada de e^(7x)*cos(3x)
Answer
-3*e^(7*x)*sin(3*x)+7*e^(7*x)*cos(3*x)
Derivative of e^(7x)*cos(3x)
- Rule Used
- Product Rule
- Steps
- Identify a product of two functions of x in *: use the product rule (uv)' = u'v + uv'. Each factor is differentiated once while the other is held as-is, then the two terms are added.
- Differentiate each factor and combine.
- Final answer: -*+*
A derivada de e^(7*x)*cos(3*x) é -3*e^(7*x)*sin(3*x)+7*e^(7*x)*cos(3*x).
Solução passo a passo instantânea para e^(7x)*cos(3x)
Share this result
Derivative of e^(7x)*cos(3x) = -3*e^(7*x)*sin(3*x)+7*e^(7*x)*cos(3*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-7xcos3x
Como encontrar a derivada de e^(7x)*cos(3x)
Para encontrar a derivada de e^(7x)*cos(3x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de acos(x)
Resolver d/dx acos(x)
Derivada de asin(x)
Resolver d/dx asin(x)
Derivada de atan(x)
Resolver d/dx atan(x)
Derivada de x^(1/3)
Resolver d/dx x^(1/3)
Derivada de cos(2x)
Resolver d/dx cos(2x)
Derivada de cos(x)^2
Resolver d/dx cos(x)^2
Derivada de cos(x)
Resolver d/dx cos(x)
Derivada de cosh(x)
Resolver d/dx cosh(x)
Derivada de cot(x)
Resolver d/dx cot(x)
Derivada de csc(x)
Resolver d/dx csc(x)
Frequently Asked Questions
What is the derivative of e^(7x)*cos(3x)?▼
The derivative of e^(7x)*cos(3x) is -3*e^(7*x)*sin(3*x)+7*e^(7*x)*cos(3*x).
How do you find the derivative of e^(7x)*cos(3x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is -3*e^(7*x)*sin(3*x)+7*e^(7*x)*cos(3*x).
Why is the derivative of e^(7x)*cos(3x) equal to -3*e^(7*x)*sin(3*x)+7*e^(7*x)*cos(3*x)?▼
Because differentiation measures how a function changes — applying the rules to e^(7x)*cos(3x) yields -3*e^(7*x)*sin(3*x)+7*e^(7*x)*cos(3*x). See the full step-by-step breakdown above.