What is the derivative of f(x) = ln(x)? (2019)

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Question: What is the derivative of f(x) = ln(x)? (2019)

Options:

Correct Answer: 1/x

Exam Year: 2019

Solution:

The derivative f\'(x) = d/dx(ln(x)) = 1/x.

What is the derivative of f(x) = ln(x)? (2019)

What is the derivative of f(x) = ln(x)? (2019)

Step 1: Understand that we want to find the derivative of the function f(x) = ln(x).
Step 2: Recall the definition of the derivative, which measures how a function changes as its input changes.
Step 3: Use the rule for the derivative of the natural logarithm function, which states that the derivative of ln(x) is 1/x.
Step 4: Write down the result: f'(x) = d/dx(ln(x)) = 1/x.

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