# How do you find the derivative for #f(x) =(x + 9)/(x^2 + 6x + 1)#?

##### 1 Answer

Sep 1, 2015

Since this is a quotient of 2 functions, we may use the quotient rule for differentiation.

#### Explanation:

The quotient rule states that the derivative of a quotient of 2 functions is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator.

Hence the answer is as shown in the picture.