Question

What is the derivative of `y= (x^2 + 2x + 5) / (x + 1)`?

Answer 1

`y = (x^2 + 2x + 5)/(x + 1)`

`=> (dy)/(dx) = ((x + 1)(2x + 2) - (x ^2 + 2x + 5)(1))/(x + 1)^2`

`= (2x^2 + 4x + 2 - x^2 - 2x - 5)/(x + 1)^2 = (x^2 + 2x - 3)/(x + 1)^2`