UNIVERSITY OF TORONTO AT SCARBOROUGH
DEPARTMENT OF MANAGEMENT
ECMB02: Price Theory: A Mathematical Approach
(Intermediate Microeconomics I)
The following “calculus” problems are assigned to help you condition yourself for the
course. The main component is Part-4, which will be used throughout the course. Make
sure you clearly understand the process, if you don’t, come to see me ASAP.
Part-1: Graph the following functions. What are their maximum and minimum? If the
function is linear, what is its slope?
a) y = 3x − 2
b) y = x + 1
Part-2: Find the derivatives of the following functions with respect to x.
a) y = −7x3
b) y = 5x
c) y x
d) y = (3x + 1)