Differentiate each of the following respect to x
2x2 +4x / x
Using the quotient rule, we can differentiate (2x^2 + 4x)/x as follows:
[(2x(x) - (2x^2 + 4x)(1)) / x^2]
= [2x^2 - 2x^2 - 4x] / x^2
= -4 / x
Therefore, the derivative of (2x^2 + 4x)/x with respect to x is -4/x.