Math230 Week Summary

MATH 230 WEEKLY SUMMARY

Yes , I agree with the statement that : during this first section of Calculus I saw an application of derivatives that I might use in my professional life ' A conceptual understanding of mathematical functions their form and graphical representations the slope , tangent asymptote , and limit as well as binomial expansion to compute the derivative of a function are essential foundations that can be applied in my future career

For instance , the knowledge that the derivative of a function is another function which measures the rate at which the

original function is changing , becomes relevant in terms of business operations that have changing rates . The ability to comprehend graphs of functions may also enable businesses to determine trends and calculate how their operations would behave , whether the slope is positive or negative from left to right

As an example , the profit rate via rental of condominium units can be computed . If a condominium corporation leases out a given number of its individual condominium units , we can denote a function for the amount of dollars they collect per month and a value for the condominium units available . The task is to find the condominium units they should rent to maximize their profit . The solution to the problem , applying Calculus principles , is to capitalize on the profit function but with the limitation that the number of condominium units denoted earlier must be within the range . First , the condominium corporation must calculate the derivative and the critical point or points falling within the range . To find the maximum value , the corporation should plug in the critical point calculated as well as the end points of the range in determining the number of units to lease

Thus , I agree with the statement above

REFERENCE

Hoffmann , L . and Bradley , Gerald (1999 . Calculus for Business Economics , and the Social and Life Sciences . McGraw-Hill Science /Engineering /Math...