1994AB1

# 1994AB1 - 1994~ 98> 1 Let f be the function given by f(x...

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Unformatted text preview: 1994~ 98>! 1. Let f be the function given by f(x) = 3x4 + x3 — 21x3. (a) Write an equation of the line tangent to the graph of f at the point (2, —28). (b) Find the absolute minimum value of f. Show the analysis that leads to your conclusion. (0) Find the x—coordinate of each point of inﬂection on the graph of f. Show the analysis that leads to your conclusion. .5 a.) Eq'uaﬁen oi; innaen'talfne 3 43-1—38 == mifx- ‘2‘) when: m: ?’(:2) «PK/1): {\$113+- 31 4;): 5 #‘(2)=%+/a—W=R‘+ lg+28=a4mal or -= mix—"ﬂ L________,.___.________L .J byway auwﬁ aunt) = 3x(¥x-7l(x+~1‘) ‘f-Yx) = 0 when? amigo!) FIT/1+” ‘92 Camildd‘es 4w- «seal. m'm. car-e at 13—; M at x = 7/4.. 41“,.) = 4% M4 MW) : -ao. 8% #_Hm*md»mﬂ_-n W LL13 An__a~.bSOL4+'e minimum 0'; “3‘0 e) 'F'Lfizi =3&%;+Ll*¥a ='- é(é¥+7)(1~l} 'Fuﬁ‘ﬁ; =0 when” x. = ”7/9 owl l ‘ - ‘ ‘7 4 changes dlr'eCT'lcn o1"- mutt/d3 at )C= /a~ and at x.=l "F‘ has Poi-4+9 D'F 'M-Cleci'a'on at I. =q7/b and of, 1:] 1994 A181 ...
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