f(x)=|x^2-4|

Part 1: find derivative: f'(x)=?

Part 2: By looking at the behavior of f'(x) where is f(x) increasing and where is it decreasing? Give answers using interval notation for x.

Part 3: By looking at the behavior of f''(x) what does that tell us about our f(x) function? Again, use interval notation in your answer.

Part 4: Use desmos or another graphing utility to graph f, f' and f'' all on the same grid each in a different labeled color. Be sure to have an efficient graphing window. Are you conjectures in parts 2 and 3 confirmed by your graph?