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Week 3

f xROC avg f b f a I b 2

b a f D If z f 2 Ft 22 IZ I f II

S t Is S 2E 2 lot 2dff ftdt sea

a S 2 lo z 2 20 Z I 8 ftse cb S 3 10 3 2 30 2 28 ft seaROC instant f 2

f x 4 2x o 8XROC instant 8 2 16a Rocaug NC3 z N 2 80 5125

80 20 60

35,260 25boies N 3 80 S D

80 45 35ROCinsta p de O S Zp top

dpb ROCinstant N 2 to 2 20bogeyC ROCinstant N 3 to 3 30 bilgesWhentheprice is 2 thedemand is decreasingby boxesperdollarWhentheprice is 3 thedemand is decreasingby3 boxesperdollar

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The derivative is the same as theslope of a tangent linef l 01 1 3 1,3 L Z D

DX Z I2

F o 0 since there is a horizontaltangent line at X o

FIX 6 x Sfx I f 12 X S

faith 61 42 SCxth 1

61 2 2 4 th Sx Sh 16 2 12 4 6h2 Sx Sh l

ffxthl ffxl 6x tizxhtoh sx.sn i 6 2 5 16 2 12 4 6h2 SX Sh l 6 1 5 1

12 x ht 6h Shfaith f x 12 x ht 6h Shh h

h 12 6h 5h

12 6h S

f 1 1 41 42 6h S

12 610 5f x 12 5

a y y m X X f 6 X X

y fCX 6 45y Sm f Xi f flf 4 1 0 2x 2x

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y S _2 X CD m f C 1 2ft

Y 5 21 12

Y 5 2 2

Ye 2 1 7b y y X X fcxt rx xkjx.esy 5 X 25 fix Ex 12 1y x fo 2rx

4 6 2,05 y _f x f zszs s

y x 1 5 m fYX f 425Z I

Dcp 2ps 4p zooIrs

a D Cp tgpD 212ps 4 1 to 4ps 4

b D lo 440 4 40 4 44 itemswhenthe rice is 10 thedemand is decreasingby44itemsperdollar

4 3 6 1 X s 7 2

1 3 text C Sx 4 71 2 718 7 5 6 14 3

IE Et100 fCX 4 3 7 2

f G T 3 2 2x

F X Hx

32 14

5431 3435 14 3 3 42 39

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The derivative is the same as theslope of a tangent lineMta S Mta F x

Set f G S

f 4 1 35 9 2x t 19 Of 4 7 3 2 t 18 193 2 t 18 19 S3 2 18 24 036ft 6 1 81 03 Xt 4 Xt 21 03 10 Xt 4 0 Xt 2 0

X 4 X 2