## Chapter 4 Learning Targets

- I can identify absolue max/min and local max/min of a function given a graph.
- I can use EVT to determine absolute man/min of a function.
- I can use f'(x) to determine where a function is increasing and decreasing.
- I can find critical points using f'(x).
- I can find extreme values analytically.
- I can verify extreme values of a function graphically.
- I can use the 1st derivative test to determine intervals of concavity and inflection points.
- I can read graphs of f'(x) with justifications.
- Find increasing and decreasing intervals
- Find concave up and down intervals
- Find locations of max/min/inflection points

- I can read tables with justifications.
- Find increasing and decreasing intervals
- Find concave up and down intervals
- Find locations of max/min/inflection points

- I can identify what function (quantity) that is to be maximized or minimized.
- I can draw a figure and assign appropriate variable(s) to represent the problem.
- I can use a correct geometry formula and identify the domain of the function.
- I can find max/min of the function using the 1st derivative test.
- I can use linearization to approximate the function value around x=a.
- I can determine if the linearization approximation is an over or underestimate.