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

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

Options:

  1. 1/x
  2. x
  3. ln(x)
  4. e^x

Correct Answer: 1/x

Exam Year: 2019

Solution: 

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

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

Practice Questions

Q1
What is the first derivative of f(x) = ln(x)? (2019)
  1. 1/x
  2. x
  3. ln(x)
  4. e^x

Questions & Step-by-Step Solutions

What is the first derivative of f(x) = ln(x)? (2019)
  • Step 1: Understand that we want to find the first derivative of the function f(x) = ln(x).
  • Step 2: Recall the basic rule for the derivative of the natural logarithm function, which states that the derivative of ln(x) is 1/x.
  • Step 3: Apply this rule directly to our function f(x) = ln(x).
  • Step 4: Write down the result: f'(x) = 1/x.
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