f= 3x" -4x' +2 = 9.3x -4.3x = 12x - 12x2 12x(メコ) =o 12x=0||メ-1。 4x*ナ2 f"- 12x-12x 3-1 = 3-12x-212> = 36x -24x メミ 3x 4-1 t0 (vitical Poinls ; 0, ,1 12x(3x-2) 20 12X-ロ 3x-2 20 X=0 Conclusion ラ Interval f(x) X CO f'(x) F"y f( f'(x) イ f!(x) keming Upuien} (0, 2) X=0 2. Pintot Infledtio no velatie

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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can you explain how the curve sketching(the one in graphing paper page 2) was done step by step

2
f"= 36x - 24X
(p=
%3D
36x-24X
. Value
Num Value
Sign
Concawity
60
- 4
12
Up
Down
Up
f"(-1) = 36(-1)*- 24(-))
36 + 24 ニ 60
4"()こ36()-2a(5)
- 4-8= -4
t"()=36(1) ~ 29 (1)
= 36 -24 12
%3D
い
fatioに05|S
ト
Pointof Inflecton
-2
Transcribed Image Text:2 f"= 36x - 24X (p= %3D 36x-24X . Value Num Value Sign Concawity 60 - 4 12 Up Down Up f"(-1) = 36(-1)*- 24(-)) 36 + 24 ニ 60 4"()こ36()-2a(5) - 4-8= -4 t"()=36(1) ~ 29 (1) = 36 -24 12 %3D い fatioに05|S ト Pointof Inflecton -2
f"- 12x- 12x
3-)
= 3-12x -2 12x
f= 3x" -4x'+2
- q-3メ-4·3×
- 12x - 12x
12x(メコ) =o
12x =0
1.
3x- 4x*ナ2
2-1
%3D
t0
(vitical Poinls : 0,1
= 36x-24x
12x(3x-2)0
a-メてl
3x-2 2o
|メ-120
X= 1
Conclusion
3x=2
Interval fx) f'(x F"♡ f(Xx f'(x)
f!(x)
X=0
2
(0, 2)
Pintot Infledtu
no velatie
も7メ70
メ=3
Doumnd
Maxintam
Decronsing
38
22
Bintof Inflertion
Oecreaning Hoveve
Rel.Mininuy
い)
Ivcveasing
f'(x)
12x 12x^ X40
Value
X= 1
Mpuand
f(x)
flo3 (0) -4 (0)*+2 =2
f(3) =3(3^ -1(3)+2 =
ー1
+2 っ38
27
22
Num Valve
-24
48
27
f(0°22(ー41)"¥2 -1
Sign
Movenent
Dec.
Oec.
Inc.
f(-1)= 12(-1)°-12 (-)“
12 + 12 = - 24
f'(}) =12(=)-12(+)* =
2
f(2) = 12(2)" - 12(2)
-ニも-そ
96-48
48
Transcribed Image Text:f"- 12x- 12x 3-) = 3-12x -2 12x f= 3x" -4x'+2 - q-3メ-4·3× - 12x - 12x 12x(メコ) =o 12x =0 1. 3x- 4x*ナ2 2-1 %3D t0 (vitical Poinls : 0,1 = 36x-24x 12x(3x-2)0 a-メてl 3x-2 2o |メ-120 X= 1 Conclusion 3x=2 Interval fx) f'(x F"♡ f(Xx f'(x) f!(x) X=0 2 (0, 2) Pintot Infledtu no velatie も7メ70 メ=3 Doumnd Maxintam Decronsing 38 22 Bintof Inflertion Oecreaning Hoveve Rel.Mininuy い) Ivcveasing f'(x) 12x 12x^ X40 Value X= 1 Mpuand f(x) flo3 (0) -4 (0)*+2 =2 f(3) =3(3^ -1(3)+2 = ー1 +2 っ38 27 22 Num Valve -24 48 27 f(0°22(ー41)"¥2 -1 Sign Movenent Dec. Oec. Inc. f(-1)= 12(-1)°-12 (-)“ 12 + 12 = - 24 f'(}) =12(=)-12(+)* = 2 f(2) = 12(2)" - 12(2) -ニも-そ 96-48 48
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