test2_Solution

test2_Solution - Math L22i Fall 2009 Test 2...

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Math L22i Fall 2009 Test 2 Name:.;0.+Ufl.qol-. .. 1. (2 poiuts each) The graph of lhe func;tion .f(r:) is gir,en belorv. List ALL the nta,rketl ltoints at ivhich: (a) the funchion has a local minim,,,rt' 'J.,.b.".". . (b) the fimctiolr has a local rna-xirllulll: .6 tD (c) concavitl' c*rarrger, . .F. .1H.,.S.'. (d) the first clerir,ative is positir'e: .t.'4.' (e) the first derirrative is rtegatire: ..h.*Q. ....... (f) the Iirst clerir.ative is equal to zero: E*6 r.-IP (g) the seconcl clerirative is liosilirt: .L. ..'. ..... '..' (h) the seconcl clelivative is negative, .9.,-D-r.0.'. Nclte that sorne of the points rntr;' fall into tnole than oue categor--v' of 5TR,ftl6l{T Ll }r€ Hoet?,our ,f (n)
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, (12+12 points) (a) Find the lirst clerir,a.tir,'e: 'f(:r) :4ra-2+ln:r.*2^' J'(*) = t, . 8^Z = Hf -O * f, * d. Q*3,) - 0^ 1.2.f) Z\D @**) \6P + T x + zx !^z ( t,) /(r:) : 4l'(z+orJ) t',0 = . htrtx) tl . hu Qt'-d = , I t*rC , 0"tt-P) zAl 0.q Q^q A+ x3 J",.,
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3. (1{1 points) {',r) = o t t*'Y Fincl an equation of the tangent line tr: .f (r:) : 4 + S at r : 1. Y
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test2_Solution - Math L22i Fall 2009 Test 2...

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