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Unformatted text preview: Differenﬁate. lnx
y: 1
' x 1:.
dy'_1121nx _ E — T (Sonphfy your answer.)
Differmﬁate. y'= lnﬂ'a'xlSxS) Hit—5 hl—Sx—s J
y' = Difforenﬁato Diffm‘mﬁate. gﬂx}=oxlnx9 9 e x
g '(x) =  9 2 x In x [Sﬂnplify your answer. Do not factor.)
x
Differmﬁato. fﬂx)=ln(egx?) f “[x) = x [Sﬂnpﬁfy your answor.) Find the equation of the line tangent to the graph of fﬂx} = (In x}5 at x = 3. —_i= 2.43x 5.63
(Tvpe your answer in slopeinterc ept form. Do not round until the ﬁnal answer. I'hen round to
two decimal places as needed.) A model for consumers' response to advertising is given hv the equation Ma) =24oo—4so In a
where Ifﬂa) is the number of units sold a is the amount spent on advertising in thousands of
dollars and a 2 1. a] How manv units were sold after spending $1.ooo on advertising?
2400 units were sold after spending $1.ooo on advertising.
In} Find If '[a). _J 451:}
1‘ (a): T Find N “(1 D).
If ‘[:1 El) = 45 units per $1.ooo spent on advertising (Simplifv your answer.) c] Find the maximum value if it exists. Select the correct choice below and ﬁll in an}; answer
hoxes within vour choice. The maximum value is units. V“ There is no maximum value. Find the minimum value if it exists. Select the correct choice below and ﬁll in anv answer
hoxes widrin your choice. “I The minimum value is 2490 units.
There is no minimum value. [1} Find lim If Ta). Does it make sense to spend more and more dollars on advertising?
1—} L1: V lim If Ta) = D. so it does not make sense. Eventuallv. the proﬁt ﬁ’om the increase in
1—} Lt sales will he less than the amount spent on advertising to achieve that increase. ...
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 Spring '11
 JoyceRosebergh
 Calculus, Critical Point, Decimal, Philosophy of life

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