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]}