Derivative of x*ln(11*x)
Answer
1+ln(11*x)
Derivative of x*ln(11*x)
- 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+
The derivative of x*ln(11*x) is 1+ln(11*x).
Instant step-by-step solution for x*ln(11*x)
Share this result
Derivative of x*ln(11*x) = 1+ln(11*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-xln11x
How to find the derivative of x*ln(11*x)
To find the derivative of x*ln(11*x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of sin(2x)
Solve d/dx sin(2x)
Derivative of sin(x)^2
Solve d/dx sin(x)^2
Derivative of sin(x)
Solve d/dx sin(x)
Derivative of sinh(x)
Solve d/dx sinh(x)
Derivative of sqrt(x)
Solve d/dx sqrt(x)
Derivative of tan(x)^2
Solve d/dx tan(x)^2
Derivative of tan(x)
Solve d/dx tan(x)
Derivative of tanh(x)
Solve d/dx tanh(x)
Derivative of x*cos(x)
Solve d/dx x*cos(x)
Derivative of x^3
Solve d/dx x^3
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.