# What is the overall maximum value of the function f(x)=(18x)/(4+x^2) on the interval (0,4)?

Aug 20, 2015

I found a max at:
$x = 2$
$y = 4.5$

#### Explanation:

You can find the first derivative of your function and set it equal to zero. This will allow you to find points where the slope of the tangent is zero; basically your tangent will be horizontal at these points so representing max or min of max of your function.