SOLUTION: Consider the functions f(x) and g(x), for which f(0)=6, g(0)=4, f'(0)=12 and g'(0)=-8. Find h'(0) for the function h(x) = f(x)/g(x).

Algebra ->  Equations -> SOLUTION: Consider the functions f(x) and g(x), for which f(0)=6, g(0)=4, f'(0)=12 and g'(0)=-8. Find h'(0) for the function h(x) = f(x)/g(x).       Log On


   

Question 1200494: Consider the functions f(x) and g(x), for which f(0)=6, g(0)=4, f'(0)=12 and g'(0)=-8. Find h'(0) for the function h(x) = f(x)/g(x).
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Use the standard Calculus formula for the derivative of a ratio of two functions


              f'(0)*g(0) - f(0)*g'(0)
    h'(0) =  ------------------------ .
                     [g(0)]^2


Substitute the given values into the formula and get the answer.

Solved.