Question

e npera ture In A Re xc G Which of the numbers T C Make A Sign Diagram http://www.webassign.net/web/Student/Assignment-Responses/last?dep-21297420 O BemApCalcB/32 029 M Consider the following function. x) = (a) Make a sign diagram for the first derivative. Select- Select- -Select- Select-w Select- X (b) Make a sign diagram for the second derivative. -Select- -Select- -Select- -Select- -Select- -Select- -Solect- X= X (c) Sketch the graph, showing all relative extreme points and inflection points. 2 IP A graphing calculator is recommended Use a graphing caloulator to estimate the xcoordinates of the inflection points of the function, rounding your answers to two decimal places. [Hint: Graph the second derivative, ether calculating it directly or using NDERIV twice, and see where it crosses the x-axis. Enter your answers as a comma-separated list. a)--S 7x4 (0,0) Need Help? Read I Talk to a Tutor

Answer 1

1 0- x 2X for -9 (al H-OINNA (249 ど+9 >0 Since far all yalas -9) and (-) 2+) (aofay domain of fundction -,-3)U (-3,3)U (3,) and f'cx) o for ils domain Sign aiagram -ve -ve -ve I-3 2x (-g) (bb f" t 2-g) 2x - C-9) 2-4 a-)-2() 2X [a-0) -2X L--27 2x (2127) f o →エ=D, F"cx) not definad Corants daon at エ= 士3 dosn up Sign aiagam ve エコ3 -Ve エ=3 +Q f0=-2(16+2) (4-3)3 4(4+27) (49)3 () Sketch an grabh Sheet くo 2C+27) (16t37). 0493 >o

2. Foo IS T for infbction boint "co 200-3ox =0 22-3 0 エ=0 10x (22-3) ニ0 220-3 , -).22, 1.22 o,.221.122 +ve -ve Sign diag ram 22 L.22 C-2)=-20(8-3)-100o f"U) = 10 (2-3)--100 - 10 (2-3)- 10>o 20 (8-3)- 100> co= ,C12 = -122) 1.86, (-1.22, 0,123 Pamt ap infloctrn .22) POint a infloction ,4) (22,186), Lo,4), C1.22,6-14) 3. fxs=c-43+109 f'cx) = 4x3 2x L- 4-12-16 LIS+4-12 -2 12-24 256-192= 64 f"C)=2xx-2) X0, X=2 -2L-1-)-36 -va +ve f LID D01-2)--12 てニズ 36 C3-3) =36 3) (b) Sketch cn aph shaot

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