Answer
a) false
b) true
c) false
d) false
e) true
Work Step by Step
(a) The statement is false. The correct version is:
$fg$ denotes the function whose value at $x$ is $f(x)g(x)$
(b) True. The notation $f/g$ means that we divide two functions.
(c) False. Derivative of $fg$ is not equal to $f'g'$, but is equal to $f'g+g'f$
(d) False. According to the product rule, we have
$(fg)'(4)=f'(4)g(4)+g'(4)f(4)$
(e) True.
