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4                Applications of


                                      Applications of


                                      Differentiation
                                      Differentiation








                  Get ready for Chapter 4 ................................................... 226

                 4-1  Linear Approximations and Newton’s Method .......................... 228


                 4-2  Indeterminate Forms and L’Hôpital’s Rule.............................. 240


                 4-3  Maximum and Minimum Values....................................... 250


                 4-4  Increasing and Decreasing Functions.................................. 261

                 4-5  Concavity and the Second Derivative Test.............................. 269


                 4-6  Overview of Curve Sketching ......................................... 278


                 4-7  Optimization ....................................................... 289


                 4-8  Related Rates ...................................................... 300

                 4-9  Rates of Change in Economics and the Sciences ........................ 306















         Ton Kinsbergen/Science Source








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