We have enabled User registrations.
0 votes
by

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.

image

(a) Find P '(2). (b) Find Q'(7).

1 Answer

0 votes
by
selected by
 
Best answer

a)

P(x) = F(x)G(x)

P '(x) = F'(x)G(x) + F(x)G'(x)

P'(2) = F'(2)G(2) + F(2)G'(2) = 0*2 + 3*(1/2) = 3/2

b)

Q(x) = F(x)/G(x)

Q'(x) = [F '(x)G(x) - F(x)G '(x)]/(G(x))^2

Q'(7) = [F '(7)G(7) - F(7)G '(7)]/(G(7))^2

Q'(7) = [(1/4)(1) - 5*(-2/3)] / (1^2) = (1/4) + (10/3) = 43/12 = 3 7/12

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat.
SHOW ANSWER
...