4:25 PM Wed Dec 15 * @ 18% % courses.maine.edu 2 of 11 Mat 152 Final Exam Review Problems - Page 2 of 11 2. Find the derivatives and the region of differentiability of the following functions. State what differential rules you are using. (a) y = x2ex. Region of differentiability: (b) y = 1-ex. Region of differentiability: ( c ) y = . Region of differentiability: (d) y = In(x2 + 1). Region of differentiability: (e) y = ecot x Region of differentiability: (f) y = fi etat. Region of differentiability:(b) Consider the function f(x) = 1. Find f'(x) using the limit definition of the derivative. (c) Find the equations of the line tangent and normal lines to the graph of y = 1 at the point where x = 2