Given the function {{MATH_78}}, find {{MATH_79}}. {{CMD_80}} {{CMD_81}} Recall, the domain of {{MATH_82}} is {{MATH_83}} and {{MATH_84}} can be considered a piecewise defined function, since {{MATH_85}} We will first compute {{MATH_86}} when {{MATH_87}}. Start with the definition of {{MATH_88}} {{MATH_89}} Replace {{MATH_90}} with its formula, {{MATH_91}} {{MATH_92}} Note: When {{MATH_93}}, then for all small enough values of {{MATH_94}} it follows that {{MATH_95}}. Therefore, {{MATH_96}}. Now we have {{MATH_97}} Next we compute the derivative {{MATH_98}} when {{MATH_99}}. {{MATH_100}} Replace {{MATH_101}} with its formula, {{MATH_102}} {{MATH_103}} Note: When {{MATH_104}}, then for all small enough values of {{MATH_105}} it follows that {{MATH_106}}. Therefore, {{MATH_107}}. That gives {{MATH_108}}