Find the derivative of the function f by using the rules of differentiation.
f(x) = (10 x^3 + 3 x^2 + 5 x - 7)/x
first of all I would simplify your function
f(x) = 10x^2 + 3x + 5 - 7/x
f '(x) = 20x + 3 + 0 + 7/x^2
f(x) = (10 x^3 + 3 x^2 + 5 x - 7)/x
f(x) = 10x^2 + 3x + 5 - 7/x
f '(x) = 20x + 3 + 0 + 7/x^2