Find the maximum and minimum values of the function below on the horizontal span from 1 to 5. be sure to include endpoint maxima or minima. (round your answers to two decimal places.) x^2 + 85/x

Max = 86; min = 36.54

Step-by-step explanation:

Step 1. Find the critical points.

(a) Take the derivative of the function.

Set it to zero and solve.

(b) Calculate ƒ(x) at the critical point.  

Step 2. Calculate ƒ(x) at the endpoints of the interval

Step 3.Identify the maxima and minima.

ƒ(x) achieves its absolute maximum of 86 at x = 1 and its absolute minimum of 36.54 at x = 3.490

The figure below shows the graph of ƒ(x) from x = 1 to x = 5.