Derivada de x*ln(11*x)

Answer

ln⁡(11⋅x)+1\ln\left(11 \cdot x\right)+1
1+ln(11*x)

Derivative of x*ln(11*x)

Rule Used
Product Rule
Steps
  1. Identify a product of two functions of x in x*log⁡(11⋅x)\log(11 \cdot 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.
  2. Differentiate each factor and combine.
  3. Final answer: 1+ln⁡(11⋅x)\ln(11 \cdot x)

A derivada de x*ln(11*x) é 1+ln(11*x).

Solução passo a passo instantânea para x*ln(11*x)

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Derivative of x*ln(11*x) = 1+ln(11*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-xln11x

Como encontrar a derivada de x*ln(11*x)

Para encontrar a derivada de x*ln(11*x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

Frequently Asked Questions

What is the derivative of x*ln(11*x)?▼
The derivative of x*ln(11*x) is 1+ln(11*x).
How do you find the derivative of x*ln(11*x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 1+ln(11*x).
Why is the derivative of x*ln(11*x) equal to 1+ln(11*x)?▼
Because differentiation measures how a function changes — applying the rules to x*ln(11*x) yields 1+ln(11*x). See the full step-by-step breakdown above.