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

\[F'(2)=0\] since the tangent line is horizontal at that point, and
\[G'(2)=\frac{1}{2}\] since at x = 2 G is a line with slope 1/2

Answer 2

now use
\[(FG)'=F'G+G'F\] to get
\[(FG)'(2)=F'(2)G(2)+G'(2)F(2)\] plug in the numbers and see what you get

Answer 3

i guess you also need that
\[F(2)=3,G(2)=2\] by reading it off the graph