Derivada de x*e^(6x)
Answer
e^(6*x)+6*e^(6*x)*x
Derivative of x*e^(6x)
- Rule Used
- Product Rule
- Steps
- Identify a product of two functions of x in 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: +*x
La derivada de x*e^(6*x) es e^(6*x)+6*e^(6*x)*x.
Solución paso a paso instantánea para x*e^(6x)
Share this result
Derivative of x*e^(6x) = e^(6*x)+6*e^(6*x)*x Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-xe-minus-to-minus-the-minus-6x
Cómo encontrar la derivada de x*e^(6x)
Para encontrar la derivada de x*e^(6x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de -x
Resolver d/dx -x
Derivada de x^(1/2)
Resolver d/dx x^(1/2)
Derivada de sec(x)
Resolver d/dx sec(x)
Derivada de sin(2x)
Resolver d/dx sin(2x)
Derivada de sin(x)^2
Resolver d/dx sin(x)^2
Derivada de sin(x)
Resolver d/dx sin(x)
Derivada de sinh(x)
Resolver d/dx sinh(x)
Derivada de sqrt(x)
Resolver d/dx sqrt(x)
Derivada de tan(x)^2
Resolver d/dx tan(x)^2
Derivada de tan(x)
Resolver d/dx tan(x)
Frequently Asked Questions
What is the derivative of x*e^(6x)?▼
The derivative of x*e^(6x) is e^(6*x)+6*e^(6*x)*x.
How do you find the derivative of x*e^(6x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is e^(6*x)+6*e^(6*x)*x.
Why is the derivative of x*e^(6x) equal to e^(6*x)+6*e^(6*x)*x?▼
Because differentiation measures how a function changes — applying the rules to x*e^(6x) yields e^(6*x)+6*e^(6*x)*x. See the full step-by-step breakdown above.