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If f(x) = ln(x), what is f'(x)?

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Question: If f(x) = ln(x), what is f\'(x)?

Options:

  1. 1/x
  2. x
  3. ln(x)
  4. 0

Correct Answer: 1/x

Solution:

f\'(x) = 1/x.

If f(x) = ln(x), what is f'(x)?

Practice Questions

Q1
If f(x) = ln(x), what is f'(x)?
  1. 1/x
  2. x
  3. ln(x)
  4. 0

Questions & Step-by-Step Solutions

If f(x) = ln(x), what is f'(x)?
  • Step 1: Identify the function f(x) which is given as ln(x).
  • Step 2: Recall the rule for finding the derivative of the natural logarithm function. The derivative of ln(x) is 1/x.
  • Step 3: Apply the rule to find f'(x). Since f(x) = ln(x), we have f'(x) = 1/x.
  • Differentiation of Logarithmic Functions – Understanding how to differentiate the natural logarithm function, specifically f(x) = ln(x), which results in f'(x) = 1/x.
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