Derivada de e^(4x+2)

Answer

4⋅119696244−4⋅x−2⋅3253681254⋅x+24 \cdot 119696244^{-4 \cdot x-2} \cdot 325368125^{4 \cdot x+2}
4*119696244^(-2-4*x)*325368125^(2+4*x)

Derivative of e^(4x+2)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in e4⋅x+2e^{4 \cdot x+2}: 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: 4*119696244^(-2-4⋅x4 \cdot x)*325368125^(2+4⋅x4 \cdot x)

A derivada de e^(4*x+2) é 4*119696244^(-2-4*x)*325368125^(2+4*x).

Solução passo a passo instantânea para e^(4x+2)

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Derivative of e^(4x+2) = 4*119696244^(-2-4*x)*325368125^(2+4*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-4x-minus-plus-minus-2

Como encontrar a derivada de e^(4x+2)

Para encontrar a derivada de e^(4x+2), 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^(4x+2)?▼
The derivative of e^(4x+2) is 4*119696244^(-2-4*x)*325368125^(2+4*x).
How do you find the derivative of e^(4x+2)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 4*119696244^(-2-4*x)*325368125^(2+4*x).
Why is the derivative of e^(4x+2) equal to 4*119696244^(-2-4*x)*325368125^(2+4*x)?▼
Because differentiation measures how a function changes — applying the rules to e^(4x+2) yields 4*119696244^(-2-4*x)*325368125^(2+4*x). See the full step-by-step breakdown above.