MATH 115 Midterm: MATH 115 UPenn 115S03Alt Exams
Document Summary
Vijay sookdeo mwf 10:00 - 10:50 am: no calculators, notes, or books are allowed on this exam, please show all your work and justify your answers. You may not receive full credit for a correct answer if insu cient work is shown or insu cient justi cation is given: clearly label and circle your nal answers. 1: (20 points) di erentiate the following functions. You do not need to simplify your answers. (a) f (x) = (3x2 + 2)2(8x + 1) (b) g(x) = 2 (d) k(x) = sin x arctan x (d) l(x) = ln x x2 + 1. 3: (10 points) a curve c is described by the equation x2 + 2xy y2 + x = 2. (a) find dy dx (b) find the equation of the tangent line to c at (1, 2). 4: (20 points) di erentiate the following functions. You do not need to simplify your answers. (a) f (x) =
