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'(2) is the first derivative of function P at the point where x = 2... would you agree?

Answer 2

And the derivative of P give the slope of P...

I think the derivative of P is going to be equal to the slope of F times the slope of G.

Answer 3

The slope of F at x=2 is zero.... F(x) is "flat" at x=2

The slope of G at x=2 looks like 1/2 (same slope everywhere... it's a line)

Answer 4

So maybe P'(2) is the slope of P(x) at x=2, which is equal to F'(2)G'(2) = 1(1/2) = 1/2

At least I think that's true :)