Lecture Note Differentiation
14 cUrrktémøRbEhlénbMErbMrYlCaPaKryrbs;GnuKmn_fx x( )=^2 +− 29 x eBlxekIn
eTA4.3. (Estimate the percentage nction
B
change in the f
I 4
u fx x( )=^2 +− 29 x a
increa es f 4
s x
s rom to 4.3.)
15 cUrrktémøRbEhlénbMErbMrYlCaPaKryrbs;GnuKmn_ ()
2
fx 3 x
x
= + eBl xfycuHBI
nction
5
eTA 4.6. (Estimate the percentage change in the fu (^) ()
2
fx 3 x
x
= s
de se
16
+a x
crea s from 5 to 4.6.)
éføedImsrubrbs;plitkrmñak; KWCq( )=−++0.1q^32 0.5q 500 q 200
W4ÉktaehIypl
duløaenAeBlEdl
enaHeRKagnwg
b k srub. (A
manufacturer’
kMritplitkmμesIμnwgqÉkta. kMritcrnþrbs;plitkmμK itkr
egáIn[)an4/1É a. ):an;sμan b¤rktémøRbEhlénTMhMbMErbMrYlrbs;éføedIm
s total cost is
t
( )
Cq=−0.1q^3 0.5q^2 ++ 500 q 200 dollars when the
production is 4 units, and the
crease this to 4.1 units. Estimate
17
nt by
e current
value of the variable is
18
level of production is q units. The current level of
manufacturer is planning to in how the total cost
will change as a result.) (Answer: $50.08)
eKrMBwgTukfatqñaMeTAmuxeTot cracrN_énsarBt’mankñúgRsukmYykMNt;eday
Ct()=++ 100 t^2400 t5, 000.
rktémøRbEhlénbrimaNkMeNIncracrN_sarBt’mankñúgkMlug6 ExbnÞab;. ENnaM³
témøcrnþénGefrKI t= 0. (It is projected that t years from now, the circulation of a
local newspaper will beCt()=++ 100 t^2400 t5, 000. Estimate the amou
which the circulation will increase during the next 16 months. (Hint: th
t= 0 ). (Answer: 200)
karsikSaelIbrisßanenAkñúgshKmn_mYy)anelIeLIgfa ry³eBltqñaMBIeBlenHeTAmux
kMritCamFümén kabUnm:UNUGuksuItenAkñúgxül;esμInwg Qt( )=++0.05t^2 0.1t3.4PaK
kñúgmYylanPaK. etIenAkñúgkMlug6 Exxagmux kMritkabUnm:UNUGuksIutnwgERbRbYlRbEhl
b:unμan? (An environmental study of a certain co years
he
g 6 months? ) (Answer: 0
19
mmunity suggests that t
from now, the average level of carbon monoxide in the air will be
Qt()=++0.05t^2 0.1t 3.4parts per million. By approximately how much will t
carbon monoxide level change during the comin .05
parts per million)
karsikSaelIRbsiT§PaBkargarénevneBlRBwkenAkñúgeragcRkmYy)anbBa¢ak;fa CamFüm
kmμkrEdlmkdl;kEnøgeFVIkarenAem:ag8³00nwgRbmUlviTüú)anf(xxx)=− + +^32615 x
kñúgry³eBlxem:agbnÞab;. etIkmμkrenaHRbmUlviTüú)anRbEhlb:unμankñúgcenøaHBIem:ag