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.
Asked by maham237 @ in Mathematics viewed by 306 People
(a) Find P '(2). (b) Find Q'(7).
Answered by maham237 @
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)=0*2+3*1/2=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)=(1/4*1-5*(-2/3))/1²=1/4+5/3=23/12
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