Mathematics in Economics

                                 Written Exam – Part 1 – 30 points

Name: …………………………………


1) Find the derivatives:

a)


b)


c)                                                                                               6
points



2) Find the domain of the function of two variables:

                                                                                                  6
points




3) Find Taylor series of  at the point a = 2.                      6 points




4) Find maxima/minima of the function:                                          6 points




5) Find the increment (find total differential) of the function  for x = 1, y = 2, dx = 0.1 and dy
= 0.2.

        6 points