Derivative of ln(4x)
Answer
x^(-1)
Derivative of ln(4x)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer:
The derivative of ln(4*x) is x^(-1).
Instant step-by-step solution for ln(4x)
Share this result
Derivative of ln(4x) = x^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-ln4x
How to find the derivative of ln(4x)
To find the derivative of ln(4x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of cot(x)
Solve d/dx cot(x)
Derivative of csc(x)
Solve d/dx csc(x)
Derivative of e^(2x)
Solve d/dx e^(2x)
Derivative of e^(-x)
Solve d/dx e^(-x)
Derivative of e^x
Solve d/dx e^x
Derivative of -x
Solve d/dx -x
Derivative of x^(1/2)
Solve d/dx x^(1/2)
Derivative of sec(x)
Solve d/dx sec(x)
Derivative of sin(2x)
Solve d/dx sin(2x)
Derivative of sin(x)^2
Solve d/dx sin(x)^2
Frequently Asked Questions
What is the derivative of ln(4x)?▼
The derivative of ln(4x) is x^(-1).
How do you find the derivative of ln(4x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is x^(-1).
Why is the derivative of ln(4x) equal to x^(-1)?▼
Because differentiation measures how a function changes — applying the rules to ln(4x) yields x^(-1). See the full step-by-step breakdown above.