{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

SurveyofCal Formula sheet

# SurveyofCal Formula sheet - Fall 2002-MJ Survey of Calculus...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Fall 2002--MJ Survey of Calculus Formula Sheet Please do not write or make anz marks on this formula sheet d LEI/"(1} g(x)] = f'(X)~ 3(1) +f(x) ' g'(x) v(t) = s'(t) Proﬁt = Revenue .. Cost P=2L+2W A V=LWH V=1tr2L mt r A: 1+— m y y = log“ x H a = x In (MN): Nln M In e"=x d ’ t RR(t)=—lnf(t)=& d! f(') b C: IMC(x)dx a 1 b Average value= If(x) 11x b—a a A P6. = ({[SUD —3(x)] dx df = f '(x)dx 1 n+1 In'ﬂu : 11”“ + C d “[C-f(x)]=c-f'(x) dx a' —[f(X) i 3(1)] = f'(X) i g'(X) dx i{ﬂ] : gumbo — goo-rm dx gm [gem2 d em = W!) = s"(t) : mm» = /'(g(x» - gm .1: Revenue = unit price a! quantity 005’: = variable cost * quantity + fixed costs =LW C=27cor A=7zor2 1 4 « V=—7rr2h V=—n-rJ SA=4TEI2 3 3 A = Fe” P(t) = Poekt M ln(MN)=|nM+InN In —— =|nM—|nN N In 1 = O In e = 1 e'” x = x consumer expenditure = price x demand - p~D’(p) b b Eon = -— I ﬁr) dx = Fooia = Fa») —F(a) DOD) a b b A = If(x)dx Tote! accumulation = If(x) dx a a b A Area = [Um-gm] (11 a 1 GI = lé[x-L(x)] dx D = f“ (a, b) - fw (a, b) 4‘, (a, m]2 Inildu : lnlul +C as, = (j;[d(x)~d(A)] d): P(L, K) = aL"K“" F(X, y. M = f(><, y) + A - 9(X. y) eudu 2e" + C I ...
View Full Document

{[ snackBarMessage ]}