Derivada de e^(5x)
Answer
5*e^(5*x)
Derivative of e^(5x)
- 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^(5*x) é 5*e^(5*x).
Solução passo a passo instantânea para e^(5x)
Share this result
Derivative of e^(5x) = 5*e^(5*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-5x
Como encontrar a derivada de e^(5x)
Para encontrar a derivada de e^(5x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
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Frequently Asked Questions
What is the derivative of e^(5x)?▼
The derivative of e^(5x) is 5*e^(5*x).
How do you find the derivative of e^(5x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 5*e^(5*x).
Why is the derivative of e^(5x) equal to 5*e^(5*x)?▼
Because differentiation measures how a function changes — applying the rules to e^(5x) yields 5*e^(5*x). See the full step-by-step breakdown above.