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                  Topics in Calculus                                                                                                                                                                                  Name___________________________________
                  Implicit Differentiation - Extra Practice                                                                                                                                                                                                Date________________  Period____
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                  For each problem, use implicit differentiation to find dy in terms of x and y.
                                                                                                                                                                                                 dx
                  1)  yx                                                                                                                                                             2)  yx
                  3)  yyx                                                                                                                                                       4)  xyyx
                  5)  xxyxy                                                                                                                                                       6)  xyxyx
                  7)  xyyx                                                                                                                                                    8)  xxyxy
                  9)  xyxyx                                                                                                                                                     10)  xyxy
                  11)  xyxy                                                                                                                                                      12)  xyxy
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                                                                                                                                       
                                                                              Answers to Implicit Differentiation - Extra Practice
                            dy                     x                                                             dy                                                                                   dy                       x                                                           dy               xxy
                  1)  dx y                                                                         2)  dxy                                                                           3)  dxy                                                                     4)  dxyxy
                            dy               xxyy                                                                                    dy              xyyx                                                                                  dy                   xxy
                  5)  dx                              xx                                                                    6)  dx                           xyxy                                                                   7)  dxyxy
                            dy               xyxy                                                                                   dy              xyy                                                                                         dy                 xxy
                  8)  dx                                xx                                                                  9)  dx                          xxy                                                                       10)  dxyxy
                                dy                   xy                                                           dy               xxy
                  11)  dxyx                                                                   12)  dxyxy
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