4
Name:________________________________________Date:__________________Period:________________ Calculus AB Free Response Questions (Unit 3): Applications of Differentiation Part B 1) If F' CNoI8NE - FA ' ' " ÷¥÷¥÷E¥¥¥ngsma.rs#naeeenantosOaE*t/+**Etsnmtto-atx-- - E £¥q8¥% relative mrn.at/=rszSincef' changes from the - totatx-r.to . fit ¥ E' ' CN=kDeItGEEIE =e×(x2t2x- She ) -0 ¥c since f' ' changes signatx-szEA-EX-stv.EC#u7aTthegraphoffCx)has points ofinfheetior = - 2tT#=-2tz9 ¥E attheseuahues . Eta -372 0 Yz a @ tqgcxlispositiuefaord-3.EE Positive positive because gems A positive nee increasing . is positive Jor - 32xcogmcegUD.is concave up there . g " is negative for 02×23 Since gex ) is concave down there . h' Cx ) - - flexi .ge#fCx7.g*cx ) since o h 'C0J=f ' glo )tfCo)g'Co ) FCOJLO Eto 84%38 then h ' 20 and hlx ) is decreasing dtX=0 .

Calculus AB Free Response Questions (Unit 3): Applications of Differentiation Part B … · 2020-04-22 · Calculus AB Free Response Questions (Unit 3): Applications of Differentiation

  • Upload
    others

  • View
    4

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Calculus AB Free Response Questions (Unit 3): Applications of Differentiation Part B … · 2020-04-22 · Calculus AB Free Response Questions (Unit 3): Applications of Differentiation

Name:________________________________________Date:__________________Period:________________

Calculus AB Free Response Questions (Unit 3): Applications of Differentiation Part B 1)

If F'CNoI8NE- FA

''"÷¥÷¥÷E¥④ ¥¥ngsma⇒.rs#naeeenantosOaE*t/+**Etsnmtto-atx--

-E

£¥q8¥% relative mrn.at/=rszSincef' changesfrom

the - totatx-r.to.

fit¥

E''CN=kDeItGEEIE €=e×(x2t2x-She) -0¥←c since f'

'

changessignatx-szEA-EX-stv.EC#u7aTthegraphoffCx)haspoints ofinfheetior= -2tT#=-2tz9

F¥⇒¥E attheseuahues .

Eta-372 0 Yz a

②@ tqgcxlispositiuefaord-3.EE← Positive positive

because gems✓ A positive nee increasing .

⑨ is positive Jor -32xcogmcegUD.is concave up there .

g" is negative for 02×23 Since gex) is concave down

there.

h' Cx) -- flexi.ge#fCx7.g*cx) sinceoh'C0J=f' glo)tfCo)g'Co)

FCOJLO

Eto 84%38then h' 20 and hlx)

is decreasing dtX=0 .

Page 2: Calculus AB Free Response Questions (Unit 3): Applications of Differentiation Part B … · 2020-04-22 · Calculus AB Free Response Questions (Unit 3): Applications of Differentiation

2)

* i.C o-

④A- Ets days the number ofmosquitoes isdecreasing at cerate of 171 mosquitos parlay -

CF -

n'H¥tyy=o④F¥/*-342-81--481=0 812/3 ④

Since U'# changes fromtto-att-12.IT-3 iehasanabsoutedfawxoatortonhcal

④ MUD -_-aPtWHuW=moIf.ge?YTmawabtaobwYLMaximumhunter of

mosquitoes

n''AK -btt24 therakofahanyeoffe.co"-ah -M numberofmosgu-toesmthefrdd-IEEEoismcnas.my#E40£240

¥B' Bluett)

-

atta

(BCMCADIIB't •U'la)=D'ta3H2a7M4a)•E3a724att44)

Page 3: Calculus AB Free Response Questions (Unit 3): Applications of Differentiation Part B … · 2020-04-22 · Calculus AB Free Response Questions (Unit 3): Applications of Differentiation

Classwork Question 1) 2007 AB 4 Form B

Link to video answer: https://youtu.be/lyuL37ugrBY

Question 2) Link to video answer: https://youtu.be/SO-piQKBho8

1997 AB 5 No Calculator

Page 4: Calculus AB Free Response Questions (Unit 3): Applications of Differentiation Part B … · 2020-04-22 · Calculus AB Free Response Questions (Unit 3): Applications of Differentiation

Classwork KEY Question 1) Link to video answer: https://youtu.be/lyuL37ugrBY

Question 2)

Link to video answer: https://youtu.be/SO-piQKBho8