3.2 - Differenfiate lnx y 1 x 1 dy_1-121nx E — T(Sonphfy...

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Unformatted text preview: Differenfiate. lnx y: 1 ' x 1:. dy'_1-121nx _ E — T (Sonphfy your answer.) Differmfiate. y'= lnfl'a'xl-Sx-S) 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 slope-interc 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? 240-0 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 24-90 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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3.2 - Differenfiate lnx y 1 x 1 dy_1-121nx E — T(Sonphfy...

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