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1400exam11

# 1400exam11 - Your NAME ﬁ/L— Show all work neatly to...

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Unformatted text preview: Your NAME: ﬁ/L— Show all work neatly to receive ﬁill credit. You may use a calculator, but most importantly I would like to see you do the process right. Plagiarism will be punished. Check all your computations to make sure you do not make a mistake by overlooking exponents, coefﬁcients plus/minus signs, parentheses, etc. 1 Let f (”WW Find 11m: >2 f(x) 0 Q92 [)0 QXJFDM Him “is , zéyﬁ/l K72 Find the derivative of the following functions: 3 2. y a LEM (Do not simplify result) 61 0 We RU la 5x + 3 m VI: LgXZ%QC%/JI+AV 6%: ”i“?}{ :ngéixo} mw—w-meﬂneﬁi 3' m (5175 -2x3 +5)(7x'3 +439 ?VOAML\$' rule, ' 5 Find the equation of the tangent line to f (3:) 2x2 + 3x— 7' where x— - 3 Express your answer in slopewintercept form. ..”’“+%t“‘~ , ‘f‘x : 4%+2h2+t;t§?% h ZW’HQ \ W 1; lg 6. The proﬁt (in pennies) from the sale of x pencils is given by P(x) = 30x m 0.25x2 m 40. a) Find the exact proﬁt from the sale of the 101St penoﬁ ow 3 ”@0003 30( OD 0.22% OUR-«eta gottoo“) +0 26:155.: my W t :: r O 25% . My”, _ ’2‘ 30\$ 10E??- {f “113...? 3 WM? It “gt/H120} “\$29 26" “”1?qu t t f» " 3 wet, feet”?- H St {at} | // the Low pr J k/ h) Use the marginaﬁ proﬁt to approximate the proﬁt from the sale of the 0T3 pencil P (X) — @3 F- O 5%} I .. PC1003: gem oet ”953 wt T? m 4 Your NAME: Mg 8% 7. Find the Xnvalues where the tangent line is horizontal for the given function f(x) =23:4 “~43:2 +30. ﬂow ‘Eﬁ 8E -" o 8X(><2'13 0 b Law—j ,,,,,, . _._..m.. — yaw—AM , 8. Find the average rate of change of y with respect to x if X changes from 1' to 3 in the function f(x) :_ 3x2 + 7x- 1 ' . we», ~» 1_ 5t®~~§m- JL’ tifﬂeimaﬂ 9. Find the derivative of f(x)m 3chz —- 2x— 4 using the definition of the derivative. (ie. ﬁnd the limit of the difference quotient) géyblilm ~ \$(X‘ii’x’) ”Mixifié [V590 h. @LX—EJWBZ ZCXi’YﬁW ‘1? ”OX +2>< 3574 53:30 W / ,EWWA EEt WEE ﬂab. Erm h. rum gh Hp Eel m '. } Fiﬁ 10. The function f(x) is graphed below. Piease answer the foliowing questions. m: :3 ‘7 W3 W0 ...
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