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

@satellite73

Answer 2

P(2) = F(2)G(2) = 3*2 = 6

Answer 3

Q(7) = F(7)/G(7) = 5/1 = 5

Answer 4

thanks!

Answer 5

actually that is incorrect. A) it says P'(x) not P(x). Therefore, P'(x) = F'(x)G(x) + G'(x)F(x). P(2) = F'(2)G(2) + F(2)G'(2), it will give you 3/2.

B) Same thing, it ask for Q'(x) = [F'(x)G(x) - F(x)G'(x)]/[G(x)]^2. Just solve for Q'(7) next. It should give you 43/12.