Given the following table of value of f(x) = log x, what is the value of f'(3)?
Given the following table of value of f(x) = log x, what is the value of f'(3)?
x | 1 | 2 | 3 | 4
f(x) | 0 | 0.301 | 0.477 | 0.602
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Correct answer: (A) 0.125
Explanation
Using the forward difference approximation, f'(3) ≈ [f(4) − f(3)]/h = (0.602 − 0.477)/1 = 0.125.