Find the derivative. You DO NOT need to simplify.

Question

y = (2 - 2x² + x⁵ - sqrt(x)) / (x)

Answer 1

You have a choice here.

1. Use the quotient rule
2. First divide the x in the denominator into every term of the numerator, then find the derivative term by term using the power rule (my choice).

First you should rewrite √x as x^1/2.

Using 2nd choice:

y = 2x^-1-2x+x⁴-x^-1/2

Then y' = -2x^-2.... (you should be able to take it from there)