6.5. Differentiable Functions
If f(x) = | 1 - x2|, then find all relative extrema
|This function is so easy that you should 'see' the answer right away by looking at a mental picture of the graph of the function. There are three local extrema ... all details are left to you.|
Note that this function is not differentiable at x = 1 and x = -1. Which of our theorems can we still apply ? Or does none apply ?