Derivada de x^ln(x)
Answer
2*ln(x)*x^(-1+ln(x))
Derivative of x^ln(x)
- Rule Used
- Power Rule
- Steps
- Identify the expression as a power function and apply the power rule. A rational exponent is allowed: ^(p/q) = (p/q)·.
- Final answer: n(x)*
La derivada de x^ln(x) es 2*ln(x)*x^(-1+ln(x)).
Solución paso a paso instantánea para x^ln(x)
Share this result
Derivative of x^ln(x) = 2*ln(x)*x^(-1+ln(x)) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-lnx
Cómo encontrar la derivada de x^ln(x)
Para encontrar la derivada de x^ln(x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
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)
Derivada de tanh(x)
Resolver d/dx tanh(x)
Derivada de x*cos(x)
Resolver d/dx x*cos(x)
Derivada de x^3
Resolver d/dx x^3
Derivada de x*e^x
Resolver d/dx x*e^x
Derivada de x+1
Resolver d/dx x+1
Frequently Asked Questions
What is the derivative of x^ln(x)?▼
The derivative of x^ln(x) is 2*ln(x)*x^(-1+ln(x)).
How do you find the derivative of x^ln(x)?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 2*ln(x)*x^(-1+ln(x)).
Why is the derivative of x^ln(x) equal to 2*ln(x)*x^(-1+ln(x))?▼
Because differentiation measures how a function changes — applying the rules to x^ln(x) yields 2*ln(x)*x^(-1+ln(x)). See the full step-by-step breakdown above.