MATH 211 Midterm: MATH 211 NIU s03Test2rev
Document Summary
The main idea is to use the sign of the rst derivative and the sign of the second derivative of a function to provide useful information about the graph of the function. These correspondences allow us to nd relative maximum and relative minimum values of a function, and provide help in graphing because they say something about the shape of the graph of a function. In sections 3. 1 3. 3 you should review the de nitions and theorems (look for the boxes of text that are shaded in grey). Review theorem 2 about relative extreme values (p 190), the first derivative test for relative extrema (p 192), the second derivative test for relative extrema (p 204), and the strategy for sketching graphs (p 226). If the second derivative is relatively nice, use the second derivative test to check whether the points you found are relative maxima or relative minima.
