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).

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).

anonymous · Answer

$$F'(2)=0$$ 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

anonymous · Answer

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

anonymous · Answer

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