Question

Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown.

http://www.webassign.net/scalcet7/3-2-050.gif

(a) Find P '(2). (b) Find Q'(7).

Answer 1

P'(x) = F'(x) * G(x) + F(x) * G'(x)
so use the graph to find the value of F(2) and G(2) and the slopes of F(x) and G(x) at x=2

Answer 2

similar idea for (b), but you'll need to use the quotient rule to find Q'(x) in terms of F(x), G(x), F'(x) and G'(x)