Page 204 - Calculus Demystified
P. 204

Transcendental Functions
                     CHAPTER 6
                                                       y                                         191

                                                                     _ 1
                                                                 y = Sec  x




                                                             1            x









                                                    Fig. 6.24


                                                       y









                                                _  /2          /2      x










                                                    Fig. 6.25


                        It is possible to show that

                                       d                  1
                                         Csc −1 x =−     √       ,  |x| > 1.
                                       dx            |x|·  x − 1
                                                            2
                                                  √                    √
                     You Try It: What is Sec −1 (−2/ 3)? What is Csc −1 (− 2)?
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