Derivada de e^(11*x)
Answer
11*e^(11*x)
Derivative of e^(11*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:
A derivada de e^(11*x) é 11*e^(11*x).
Solução passo a passo instantânea para e^(11*x)
Share this result
Derivative of e^(11*x) = 11*e^(11*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-11x
Como encontrar a derivada de e^(11*x)
Para encontrar a derivada de e^(11*x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de tan(x)^2
Resolver d/dx tan(x)^2
Derivada de tan(x)
Resolver d/dx tan(x)
Derivada de tanh(x)
Resolver d/dx tanh(x)
Derivada de x*cos(x)
Resolver d/dx x*cos(x)
Derivada de x^3
Resolver d/dx x^3
Derivada de x*ln(x)
Resolver d/dx x*ln(x)
Derivada de x+1
Resolver d/dx x+1
Derivada de x*sin(x)
Resolver d/dx x*sin(x)
Derivada de x^2
Resolver d/dx x^2
Derivada de x^2-1
Resolver d/dx x^2-1
Frequently Asked Questions
What is the derivative of e^(11*x)?▼
The derivative of e^(11*x) is 11*e^(11*x).
How do you find the derivative of e^(11*x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 11*e^(11*x).
Why is the derivative of e^(11*x) equal to 11*e^(11*x)?▼
Because differentiation measures how a function changes — applying the rules to e^(11*x) yields 11*e^(11*x). See the full step-by-step breakdown above.