, DOWNLOAD THE Test Bank for Calculus 8th Edition Stewart
b b b b b b b b
Stewart - Calculus 8e Chapter 2 Form A
b b b b b b b
1. Differentiate.
2. Findbtheblimit.
3. Differentiate.
4. Thebgraphbshowsbthebpercentagebofbhouseholdsbinbabcertainbcitybwatchingbtelevisionbduringbab24-
hrbperiodbonbabweekdayb(
b correspondsbtob6ba.m.).bBybcomputingbthebslopebofbthebrespectivebtangentbline,bestimatebthebratebofbchangebofb
thebpercentagebofbhouseholdsbwatchingbtelevisionbatba-12bp.m.
Notebthatb
0.225
3
dy
0.15
0.075
2b b 4b b 6b b 8 b b 10 b 12 b 14b 16 b 18b 20 tb(hr)
5. SupposebthebtotalbcostbinbmaunufacturingbxbunitsbofbabcertainbproductbisbCb(x)bdollars.
a. Whatbdoesb b measure? bGivebunits.
b. Whatbcanbyoubsaybaboutbthebsignbofb ?
c. Givenbthatb
b,bestimatebthebadditionalbcostbinbproducingbtheb3001stbunitbofbthebproduct.
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,borbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinb
part.
mynursytest.store
, DOWNLOAD THE Test Bank for Calculus 8th Edition Stewart
b b b b b b b b
Stewart - Calculus 8e Chapter 2 Form A
b b b b b b b
6. TheblevelbofbnitrogenbdioxidebpresentbonbabcertainbJunebdaybinbdowntownbMegapolisbisba
pproximatedbby
wherebA(t)bisbmeasuredbinbpollutantbstandardbindexbandbtbisbmeasuredbinbhoursbwithb
bcorrespondingbtob7ba.m.b Whatbisbthebaverageblevel bofbnitrogenbdioxidebinbthebatmospherebfromb1
a.m.btob2bp.m.bonbthatbday?b b Roundbtobthreebdecimalbplaces.
7. Sketchbthebgraphbofbthebderivativeb b ofbthebfunctionb b fb b whosebgraphbisbgiven.
8. Letb .
b
a. Sketchbthebgraphbofb b f.
b. Forbwhatbvaluesbofbxbisbfbdifferentiable?
c. Findbabformulabforb .
9. Supposebthatbfbandbgbarebfunctionsbthatbarebdifferentiablebatbxb=b1bandbthatbfb(1)b=b1,b (1)b=b–3,bg
(1)b=b2,bandb (1)b=b5.b b Findb .
10. Findbthebderivativebofbthebfunction.
11. Identifybtheb“insidebfunction”bub=bfb(x)bandbtheb“outsidebfunction”byb=bgb(u).b Thenbfindbdy/dxbusingbth
ebChainbRule.
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,borbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinb
part.
mynursytest.store
, DOWNLOAD THE Test Bank for Calculus 8th Edition Stewart
b b b b b b b b
Stewart - Calculus 8e Chapter 2 Form A
b b b b b b b
12. Findbthebderivativebofbthebfunction.
fb(x)b=bxbsin8bx
13. Findbanbequationbofbthebtangentblinebtobthebgivenbcurvebatbthebindicatedbpoint.
14. Thebcurvebwithbthebequation
isbcalledbanbasteroid.bFindbanbequationbofbthebtangentbtobthebcurvebatbth
ebpointb(48 6b,b1).
125
–125 0 125b x
–125
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,borbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinb
part.
mynursytest.store
b b b b b b b b
Stewart - Calculus 8e Chapter 2 Form A
b b b b b b b
1. Differentiate.
2. Findbtheblimit.
3. Differentiate.
4. Thebgraphbshowsbthebpercentagebofbhouseholdsbinbabcertainbcitybwatchingbtelevisionbduringbab24-
hrbperiodbonbabweekdayb(
b correspondsbtob6ba.m.).bBybcomputingbthebslopebofbthebrespectivebtangentbline,bestimatebthebratebofbchangebofb
thebpercentagebofbhouseholdsbwatchingbtelevisionbatba-12bp.m.
Notebthatb
0.225
3
dy
0.15
0.075
2b b 4b b 6b b 8 b b 10 b 12 b 14b 16 b 18b 20 tb(hr)
5. SupposebthebtotalbcostbinbmaunufacturingbxbunitsbofbabcertainbproductbisbCb(x)bdollars.
a. Whatbdoesb b measure? bGivebunits.
b. Whatbcanbyoubsaybaboutbthebsignbofb ?
c. Givenbthatb
b,bestimatebthebadditionalbcostbinbproducingbtheb3001stbunitbofbthebproduct.
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,borbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinb
part.
mynursytest.store
, DOWNLOAD THE Test Bank for Calculus 8th Edition Stewart
b b b b b b b b
Stewart - Calculus 8e Chapter 2 Form A
b b b b b b b
6. TheblevelbofbnitrogenbdioxidebpresentbonbabcertainbJunebdaybinbdowntownbMegapolisbisba
pproximatedbby
wherebA(t)bisbmeasuredbinbpollutantbstandardbindexbandbtbisbmeasuredbinbhoursbwithb
bcorrespondingbtob7ba.m.b Whatbisbthebaverageblevel bofbnitrogenbdioxidebinbthebatmospherebfromb1
a.m.btob2bp.m.bonbthatbday?b b Roundbtobthreebdecimalbplaces.
7. Sketchbthebgraphbofbthebderivativeb b ofbthebfunctionb b fb b whosebgraphbisbgiven.
8. Letb .
b
a. Sketchbthebgraphbofb b f.
b. Forbwhatbvaluesbofbxbisbfbdifferentiable?
c. Findbabformulabforb .
9. Supposebthatbfbandbgbarebfunctionsbthatbarebdifferentiablebatbxb=b1bandbthatbfb(1)b=b1,b (1)b=b–3,bg
(1)b=b2,bandb (1)b=b5.b b Findb .
10. Findbthebderivativebofbthebfunction.
11. Identifybtheb“insidebfunction”bub=bfb(x)bandbtheb“outsidebfunction”byb=bgb(u).b Thenbfindbdy/dxbusingbth
ebChainbRule.
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,borbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinb
part.
mynursytest.store
, DOWNLOAD THE Test Bank for Calculus 8th Edition Stewart
b b b b b b b b
Stewart - Calculus 8e Chapter 2 Form A
b b b b b b b
12. Findbthebderivativebofbthebfunction.
fb(x)b=bxbsin8bx
13. Findbanbequationbofbthebtangentblinebtobthebgivenbcurvebatbthebindicatedbpoint.
14. Thebcurvebwithbthebequation
isbcalledbanbasteroid.bFindbanbequationbofbthebtangentbtobthebcurvebatbth
ebpointb(48 6b,b1).
125
–125 0 125b x
–125
©b2016bCengagebLearning.bAllbRightsbReserved.bMaybnotbbebscanned,bcopiedborbduplicated,borbpostedbtobabpubliclybaccessiblebwebsite,binbwholeborbinb
part.
mynursytest.store
