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Given f(x)=x^3−2x+5/x+4 and f′(3)=a/b, where a and b are coprime positive integers, what is the value of a+b?

Details and assumptions
f′(x) denotes the derivative of f(x).

3 answers

Is your question is f(x)= x^3-2x+(5/x)+4 ?

Xcube -2x +5 divide by x+4

is it x^3 -(2x+5)/(x+4) ?

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