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December 19, 2014

December 19, 2014

Posted by **Chelsea** on Sunday, October 24, 2010 at 3:40pm.

a) h(x)= 5f(x) - 4g(x)

b) h(x)= f(x)g(x)

c) h(x)= f(x)/g(x)

d) h(x)= g(x)/1 + f(x)

I have no idea how to plug these in. If someone could please show me how to go about one, I'm sure the rest would be nearly the same.

- Calc -
**MathMate**, Sunday, October 24, 2010 at 5:33pmI'll do (c):

h(x)=f(x)/g(x)

use quotient rule in differentiation:

d(u/v)=(v*du-udv)/v²

so

h'(2)=(g(x)*f'(x)-f(x)*g'(x))/g(x)²

=(g(2)*f'(2)-f(2)*g'(2))/g(2)²

=(4*(-2)-(-3)*7)/4²

=13/16

Check my work.

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