Question

Use a linear approximation of f(x)=log(x) at x=1 to approximate log(3/4).

Express your answer as an exact fraction; remember that log denotes the natural log.

Answer 1

f'=1/x

so, f(3/4)=f(1)-f(1/4)= -0.125

Answer 2

that's not the right answer. The right answer is a negative half. The answer above is not in fractional form.