Page 29 - Issue 39
P. 29

ELITE                                         Vol.1, Issue 39, January           2022
                                                               Vol.1, Issue 39, January






























         In  chemistry,  we  calculate  the  rate  of  a  chemical  Supply, demand, engel, cost, production possibility
         reaction as the speed at which the chemical reaction  frontier  (PPF)  are  all  types  of  curves  commonly
         proceeds. It is often expressed in terms of either the  used  in  economics  to  represent  relations  among
         change  in  the  concentration  (amount  per  unit   different variables. And it is always an economist’s
         volume)  of  a  product  that  is  formed  in  a  unit  of  interest  to  study  how  one  variable  changes  as
         time or the change in the concentration of a reactant  another  changes,  to  figure  out  causation  and
         that  is  consumed  in  a  unit  of  time  (Rate=          correlation amongst different variables.
                 .       /    ).                              That  is  why,  economists  use  differentiation  to
                                                              predict supply, demand, minimum production costs
                                                              and maximum potential profits. Supply and demand
                                                              are, after all, essentially charted on a curve—and an
                                                              ever-changing curve at that.
                                                              Moreover, we can use derivatives to determine the
                                                              price  elasticity  of  demand  which  measures  the
                                                              sensitivity of one variable with respect to another.
                                                              To  calculate  an  exact  measure  of  elasticity  at  a

                                                              particular point on a supply or demand curve, we
                                                              need to think about infinitesimally small changes in
                                                              price  and,  as  a  result,  incorporate  mathematical
                                                              derivatives into the elasticity formulas.
         Why  is  there  a  close  relationship  between      Therefore,  differentiation  allows  us  to  determine

         differentiation and economics?                       specific  points  on  that  ever-changing  supply-and-
         Now, we come to the part that interests us the most  demand curve.
         , why do we use differentiation in economics?        That is why economics and calculus are inseparable
         There  is  nothing  more  that  economists  love  than  because  as  long  as  there  are  curves,  slopes  and
         graphs.  And  what  do  graphs  represent?  Exactly!  tangent  lines,  we  are  going  to  use  derivatives  to
         The variation of a variable in comparison with that  examine and calculate them.
         of another variable. They also represent a collection  Thus, if you are planning to choose economics as
         of  all  points  whose  coordinates  satisfy  a  given  your major, you need to strengthen your knowledge
         mathematical relation or function.                   of calculus.




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