How do you find the extreme values of the function and where they occur?

1 Answer
Jul 5, 2018

Answer:

See below.

Explanation:

To find extreme values of a function #f#, set #f'(x)=0# and solve. This gives you the x-coordinates of the extreme values/ local maxs and mins.

For example. consider #f(x)=x^2-6x+5#. To find the minimum value of #f# (we know it's minimum because the parabola opens upward), we set #f'(x)=2x-6=0# Solving, we get #x=3# is the location of the minimum. To find the y-coordinate, we find #f(3)=-4#. Therefore, the extreme minimum of #f# occurs at the point #(3,-4)#.