Derivative of e^x/x^4
- Answer
- -4*e^x*x^(-5)+e^x*x^(-4)
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient of two functions: use the quotient rule (u/v)' = (u'v − uv')/v².
- Differentiate numerator and denominator, then combine.
- Final answer: -4*e^x*x^(-5)+e^x*x^(-4)
Share this result
Derivative of e^x/x^4 = -4*e^x*x^(-5)+e^x*x^(-4) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-e-minus-to-minus-the-minus-x-minus-over-minus-x-minus-to-minus-the-minus-4
Cómo encontrar la derivada de e^x/x^4
Para encontrar la derivada de e^x/x^4, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de 1/sqrt(1-x^2)
Resolver d/dx 1/sqrt(1-x^2)
Derivada de 1/sqrt(10-x^2)
Resolver d/dx 1/sqrt(10-x^2)
Derivada de 1/sqrt(2-x^2)
Resolver d/dx 1/sqrt(2-x^2)
Derivada de 1/sqrt(3-x^2)
Resolver d/dx 1/sqrt(3-x^2)
Derivada de 1/sqrt(4-x^2)
Resolver d/dx 1/sqrt(4-x^2)
Derivada de 1/sqrt(5-x^2)
Resolver d/dx 1/sqrt(5-x^2)
Derivada de 1/sqrt(6-x^2)
Resolver d/dx 1/sqrt(6-x^2)
Derivada de 1/sqrt(7-x^2)
Resolver d/dx 1/sqrt(7-x^2)
Derivada de 1/sqrt(8-x^2)
Resolver d/dx 1/sqrt(8-x^2)
Derivada de 1/sqrt(9-x^2)
Resolver d/dx 1/sqrt(9-x^2)