Derivada de e^(cos(x))
Answer
-119696244^(-cos(x))*325368125^cos(x)*sin(x)
Derivative of e^(cos(x))
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: -119696244^(-)*325368125^*
A derivada de e^(cos(x)) é -119696244^(-cos(x))*325368125^cos(x)*sin(x).
Solução passo a passo instantânea para e^(cos(x))
Share this result
Derivative of e^(cos(x)) = -119696244^(-cos(x))*325368125^cos(x)*sin(x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-cosx
Como encontrar a derivada de e^(cos(x))
Para encontrar a derivada de e^(cos(x)), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de 2x
Resolver d/dx 2x
Derivada de 3x^2
Resolver d/dx 3x^2
Derivada de 5x
Resolver d/dx 5x
Derivada de Abs(x)
Resolver d/dx Abs(x)
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
Frequently Asked Questions
What is the derivative of e^(cos(x))?▼
The derivative of e^(cos(x)) is -119696244^(-cos(x))*325368125^cos(x)*sin(x).
How do you find the derivative of e^(cos(x))?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -119696244^(-cos(x))*325368125^cos(x)*sin(x).
Why is the derivative of e^(cos(x)) equal to -119696244^(-cos(x))*325368125^cos(x)*sin(x)?▼
Because differentiation measures how a function changes — applying the rules to e^(cos(x)) yields -119696244^(-cos(x))*325368125^cos(x)*sin(x). See the full step-by-step breakdown above.