Derivada de x*ln(4x)
Answer
1+ln(4*x)
Derivative of x*ln(4x)
- 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: 1+
A derivada de x*ln(4*x) é 1+ln(4*x).
Solução passo a passo instantânea para x*ln(4x)
Share this result
Derivative of x*ln(4x) = 1+ln(4*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-xln4x
Como encontrar a derivada de x*ln(4x)
Para encontrar a derivada de x*ln(4x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais 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(4x)?▼
The derivative of x*ln(4x) is 1+ln(4*x).
How do you find the derivative of x*ln(4x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 1+ln(4*x).
Why is the derivative of x*ln(4x) equal to 1+ln(4*x)?▼
Because differentiation measures how a function changes — applying the rules to x*ln(4x) yields 1+ln(4*x). See the full step-by-step breakdown above.