Derivada de x^2*e^x
Answer
e^x*x^2+2*e^x*x
Derivative of x^2*e^x
- Rule Used
- Product Rule
- Steps
- Identify a product of two functions of x in *e^x: use the product rule (uv)' = u'v + uv'. Each factor is differentiated once while the other is held as-is, then the two terms are added.
- Differentiate each factor and combine.
- Final answer: e^x*+^x*x
La derivada de x^2*e^x es e^x*x^2+2*e^x*x.
Solución paso a paso instantánea para x^2*e^x
Share this result
Derivative of x^2*e^x = e^x*x^2+2*e^x*x Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-2e-minus-to-minus-the-minus-x
Cómo encontrar la derivada de x^2*e^x
Para encontrar la derivada de x^2*e^x, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de 10^x
Resolver d/dx 10^x
Derivada de 2^x
Resolver d/dx 2^x
Derivada de e^(2x)
Resolver d/dx e^(2x)
Derivada de e^(-x)
Resolver d/dx e^(-x)
Derivada de e^x
Resolver d/dx e^x
Derivada de x*e^x
Resolver d/dx x*e^x
Derivada de 1-x
Resolver d/dx 1-x
Derivada de 1/x
Resolver d/dx 1/x
Derivada de 1/x^2
Resolver d/dx 1/x^2
Derivada de 2x
Resolver d/dx 2x
Frequently Asked Questions
What is the derivative of x^2*e^x?▼
The derivative of x^2*e^x is e^x*x^2+2*e^x*x.
How do you find the derivative of x^2*e^x?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is e^x*x^2+2*e^x*x.
Why is the derivative of x^2*e^x equal to e^x*x^2+2*e^x*x?▼
Because differentiation measures how a function changes — applying the rules to x^2*e^x yields e^x*x^2+2*e^x*x. See the full step-by-step breakdown above.