# How do you find the intervals of increasing and decreasing using the first derivative given #y=(x+4)/x^2#?

##### 1 Answer

#### Explanation:

Evaluate the first derivative of the function:

and solve the inequality:

The inequality is satisfied when numerator and denominator are both positive or both negative, so:

and:

while the only stationary point is for

So

graph{(x+4)/x^2 [-1.1181, -6.118, -0.86, 1.64]}

graph{(x+4)/x^2 [-9, -7, -0.08, -0.04]}