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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.


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

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. (a) Find P (2). (b) Find Q (7). class=

Verified Answer :

caylus

Hello,

Very nice like question!

a)
F(2)=3 ; G(2)=2
F'(2)=0; G'(2)=1/2
P'(x)=F'(x)G(x)+F(x)G'(x)

P'(2)=02+31/2=3/2

b)
F(7)=5; G(7)=1
F'(7)=1/4; G'(7)=-2/3

Q'(x)=(F'(x)G(x)-F(x)G'(x)) / G²(x)

Q'(7)=(1/41-5(-2/3))/1²=1/4+5/3=23/12




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