Derivada de e^x/x^5
Answer
-4*119696244^(-x^(-4))*325368125^x^(-4)*x^(-5)
Derivative of e^x/x^5
- 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: -4*119696244^(-)*325368125^*
A derivada de e^x/x^5 é -4*119696244^(-x^(-4))*325368125^x^(-4)*x^(-5).
Solução passo a passo instantânea para e^x/x^5
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Derivative of e^x/x^5 = -4*119696244^(-x^(-4))*325368125^x^(-4)*x^(-5) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-x-minus-over-minus-x-minus-to-minus-the-minus-5
Como encontrar a derivada de e^x/x^5
Para encontrar a derivada de e^x/x^5, 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/x^5?▼
The derivative of e^x/x^5 is -4*119696244^(-x^(-4))*325368125^x^(-4)*x^(-5).
How do you find the derivative of e^x/x^5?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -4*119696244^(-x^(-4))*325368125^x^(-4)*x^(-5).
Why is the derivative of e^x/x^5 equal to -4*119696244^(-x^(-4))*325368125^x^(-4)*x^(-5)?▼
Because differentiation measures how a function changes — applying the rules to e^x/x^5 yields -4*119696244^(-x^(-4))*325368125^x^(-4)*x^(-5). See the full step-by-step breakdown above.