# How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for # f(t) = 6t + 1/t#?

##### 2 Answers

And

Now as the derivative changes from positive to negative at

Also as derivative changes from negative to positive at

The function is increasing when

The function is decreasing when

See below

#### Explanation:

Let's calculate the first derivative

The domain of

The critical points are when

Let's build a chart

Let's calculate the second derivative

There is no point of inflection.

graph{6x+1/x [-41.1, 41.08, -20.54, 20.57]}