Derivada de e^(x^2+7)
Answer
2*119696244^(-7-x^2)*325368125^(7+x^2)*x
Derivative of e^(x^2+7)
- 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^(-7-)*325368125^(7+)*x
A derivada de e^(x^2+7) é 2*119696244^(-7-x^2)*325368125^(7+x^2)*x.
Solução passo a passo instantânea para e^(x^2+7)
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Derivative of e^(x^2+7) = 2*119696244^(-7-x^2)*325368125^(7+x^2)*x Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-x-minus-to-minus-the-minus-2-minus-plus-minus-7
Como encontrar a derivada de e^(x^2+7)
Para encontrar a derivada de e^(x^2+7), 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^(x^2+7)?▼
The derivative of e^(x^2+7) is 2*119696244^(-7-x^2)*325368125^(7+x^2)*x.
How do you find the derivative of e^(x^2+7)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 2*119696244^(-7-x^2)*325368125^(7+x^2)*x.
Why is the derivative of e^(x^2+7) equal to 2*119696244^(-7-x^2)*325368125^(7+x^2)*x?▼
Because differentiation measures how a function changes — applying the rules to e^(x^2+7) yields 2*119696244^(-7-x^2)*325368125^(7+x^2)*x. See the full step-by-step breakdown above.