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If f(x) = ln(x), what is f'(e)?
Practice Questions
Q1
If f(x) = ln(x), what is f'(e)?
1
0
e
ln(e)
Questions & Step-by-Step Solutions
If f(x) = ln(x), what is f'(e)?
Steps
Concepts
Step 1: Identify the function given in the question, which is f(x) = ln(x).
Step 2: Find the derivative of the function f(x). The derivative of ln(x) is f'(x) = 1/x.
Step 3: Substitute e into the derivative. We need to find f'(e).
Step 4: Calculate f'(e) by replacing x with e in the derivative: f'(e) = 1/e.
Derivative of Natural Logarithm
– Understanding how to differentiate the natural logarithm function and evaluate it at a specific point.
Evaluation of Derivatives
– Applying the derivative formula to find the slope of the function at a given value.
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