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

Practice Questions

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

Questions & Step-by-Step Solutions

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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