Derivada de x*ln(7x)

Answer

ln⁡(7⋅x)+1\ln\left(7 \cdot x\right)+1
1+ln(7*x)

Derivative of x*ln(7x)

Rule Used
Product Rule
Steps
  1. Identify a product of two functions of x in x*log⁡(7⋅x)\log(7 \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⁡(7⋅x)\ln(7 \cdot x)

La derivada de x*ln(7*x) es 1+ln(7*x).

Solución paso a paso instantánea para x*ln(7x)

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Derivative of x*ln(7x) = 1+ln(7*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-xln7x

Cómo encontrar la derivada de x*ln(7x)

Para encontrar la derivada de x*ln(7x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

Frequently Asked Questions

What is the derivative of x*ln(7x)?▼
The derivative of x*ln(7x) is 1+ln(7*x).
How do you find the derivative of x*ln(7x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 1+ln(7*x).
Why is the derivative of x*ln(7x) equal to 1+ln(7*x)?▼
Because differentiation measures how a function changes — applying the rules to x*ln(7x) yields 1+ln(7*x). See the full step-by-step breakdown above.