SOLUTION: thats a differential question,, plz solve it if f(3)=-2 and f'(3)=4, find g'(3) (a) g(x)=3x^2-5f(x) (b) g(x)=2x+1/f(x)

Algebra ->  Test -> SOLUTION: thats a differential question,, plz solve it if f(3)=-2 and f'(3)=4, find g'(3) (a) g(x)=3x^2-5f(x) (b) g(x)=2x+1/f(x)       Log On


   



Question 1026815: thats a differential question,, plz solve it
if f(3)=-2 and f'(3)=4, find g'(3)
(a) g(x)=3x^2-5f(x)
(b) g(x)=2x+1/f(x)

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
(a) Take derivative of both sides:

g'(x) = 6x - 5f'(x)

Substitute x = 3.

Do the same thing for (b). However you will have to use the quotient rule.