Interactive Real Analysis
- part of Examples 6.5.14(b):
If
f(x) = | 1 - x2|,
then find all relative extrema
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| 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 ?