Derivada de e^(2x+3)
Answer
2*119696244^(-2*x-3)*325368125^(2*x+3)
Derivative of e^(2x+3)
- 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: 2*119696244^(--3)*325368125^(+3)
A derivada de e^(2*x+3) é 2*119696244^(-2*x-3)*325368125^(2*x+3).
Solução passo a passo instantânea para e^(2x+3)
Share this result
Derivative of e^(2x+3) = 2*119696244^(-2*x-3)*325368125^(2*x+3) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-2x-minus-plus-minus-3
Como encontrar a derivada de e^(2x+3)
Para encontrar a derivada de e^(2x+3), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de 2^x
Resolver d/dx 2^x
Derivada de e^(2x)
Resolver d/dx e^(2x)
Derivada de e^(-x)
Resolver d/dx e^(-x)
Derivada de e^x
Resolver d/dx e^x
Derivada de x*e^x
Resolver d/dx x*e^x
Derivada de 1-x
Resolver d/dx 1-x
Derivada de 1/x
Resolver d/dx 1/x
Derivada de 1/x^2
Resolver d/dx 1/x^2
Derivada de 2x
Resolver d/dx 2x
Derivada de 3x^2
Resolver d/dx 3x^2
Frequently Asked Questions
What is the derivative of e^(2x+3)?▼
The derivative of e^(2x+3) is 2*119696244^(-2*x-3)*325368125^(2*x+3).
How do you find the derivative of e^(2x+3)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 2*119696244^(-2*x-3)*325368125^(2*x+3).
Why is the derivative of e^(2x+3) equal to 2*119696244^(-2*x-3)*325368125^(2*x+3)?▼
Because differentiation measures how a function changes — applying the rules to e^(2x+3) yields 2*119696244^(-2*x-3)*325368125^(2*x+3). See the full step-by-step breakdown above.