Derivada de e^(11*x)

Answer

11e11x11e^{11x}
11*e^(11*x)

Derivative of e^(11*x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in e11⋅xe^{11 \cdot x}: use the chain rule ddxf(g(x))\frac{d}{dx} f(g(x)) = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
  2. Differentiate the outer function, then multiply by the inner derivative.
  3. Final answer: 11⋅e11⋅x11 \cdot e^{11 \cdot x}

A derivada de e^(11*x) é 11*e^(11*x).

Solução passo a passo instantânea para e^(11*x)

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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.

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.