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What is the first derivative of f(x) = ln(x)? (2019)
What is the first derivative of f(x) = ln(x)? (2019)
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Practice Questions
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Q1
What is the first derivative of f(x) = ln(x)? (2019)
1/x
x
ln(x)
e^x
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The derivative f'(x) = 1/x.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the first derivative of f(x) = ln(x)? (2019)
Solution:
The derivative f'(x) = 1/x.
Steps: 4
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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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