# How do you find the derivative for #y= (x^2 + 2x + 5) / (x + 1)#?

##### 1 Answer

#### Explanation:

You could differentiate this function by using the quotient rule, or you could simplify the function first, then use the chain rule.

Here's how you could simplify this function. Notice that the numerator can be written as

This is an important thing to notice because you can use the formula for the *square of a binomial*

to write

You can then go ahead and simplify this by

Your target derivative will thus be equal to