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).

zepdrix · Answer

a) So we need to find F'(2)*G'(2)

What is the slope of the function F at x=2? :D

anonymous · Answer

Idk? That's why I need help!

zepdrix · Answer

You need to know a little something about derivatives in order to do this problem.

At F(2), the graph is at the bottom of a dip, correct?
That is the point where the graph is changing from decreasing, (its no longer going down) and its turning around to go back up hill.
But when its at the bottom, it has a slope of 0.
So F'(2)   <= the slope at 2, is 0

So P'(2) = F'(2)*G'(2) = 0*G'(2) = 0
It wont matter what G'(2) is, since it's being multiplied by 0.