Mathematics

Problem

Let

f(x)

be a differentiable function with

f(x)>0

for all

x

. Answer the following: a. (i) Write

\dfrac{d}{dx}\bigl[\ln(f(x))\bigr]

in terms of

f(x)

and

f'(x)

. b. (ii) State one reason for the form of your answer in part (i).