MATH 110 Lecture Notes - Lecture 28: Diminishing Returns, Inflection Point, Arctic Air
Document Summary
S (in thousands of dollars) of arctic air co. , which makes automobile air conditioners, is related to the amount of money (in thousands of dollars) the company spends on advertising by: (x) 01x. = t3 9 2 + 4 + 5. = 6 1 = 6 3 (t t. 2nd derivative test: then then then test is inconclusive (x) f (c) f (c) f . If (x) (x) f f has relative minimum at has relative maximum at x = c x = c. = 3 2 6 2 = 3 2 2 8 (x) f . + 2 x to find critical points x x (x (x. = 6 6 = 6 1 (x f (x) x. The vertical line x = a f lim x a is called a vertical asymptote of the graph of the function (x) (x) .
