Locate the critical points of the given function

Question

Do the following:

a) Locate the critical points of the given function

f(x)=x^2/3 (x-4)

b) Use the first derivative test to locate the local maximum and minimum values

c) Identify the absolute minimum and maximum values of the function on the given interval

 [-5,5] 

INSTRUCTIONS: Fill in the missing numbers in order to determine the correct answers. Up to two decimal places only.

 

1. ) Critical points: x =  ______and x = ____ / 5

2.) Local maximum at x =  and f(0) =  and      Local minimum at x = 8/5 and f(8/5)  ≈ 

3.) Absolute maximum value of f on [-5, 5] = __________

   Absolute minimum value of f on [-5, 5] = __________

Answer 1

desmos.com/calculator/owjxc1yud8

Open the derivatives folder on the above graph to see ways to use Desmos to verify your derivative formulas.