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**Unformatted text preview: **Math 151——Spring 2013—-Quiz 7 Name __M;é_q/_2§___§_2:l>_a’c Show all work for each problem. The maximum number of points possible is 43, but the quiz will be scored out of 40. f
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1. Find the derivative. For this problem you do not need to simplify the answers. W!
a) f(x)=x-ez U :>< (136"
U l : I V '5 ex (P'(K\:U‘V+ oui ' ‘ (5)
is; W b) f(:c)=4ln(3a:)—e$
(PI(’<):J)’{(’/-h(3x\)" (PVC’S‘) :: (1";o s 8X 3 x / z (5)
/ <4) 2. For f(a:) = — ln(x) + 3:
a) Find the slope of the tangent line at x = 1. (5) b) Find an equation of this tangent line. 7";" )9 ytws><+m (5) Math 151, quiz 7, Spn'ng 2013 3. Forf(:v) 2 x3 — 12a:- 1:
a) Find the critical numbers. (9((Klrst—iz - (5)
2 ./ 3(‘xl-(1):C> I 3(’X+l)(xxz):O/C('¥:C°( h°W6r5(S:&/-—2. b) Draw the ﬁrst derivative diagram. Show all detail. W7 , (5), f
Mglzz; ~/2, : I5 “(6); ~11 (973];15
c) State the x-intervals where f is increasing. '
(- 05/ “ C) {L , (>0) / d) State the x-intervals where f is decreasing. I Lama) (1) e) Make a detailed? hand sketch of the graph of f For each critical number, show its point
on the graph and one point on each side. Do not show any decimals on your graph. f8 (1) (7) ...

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- Fall '13
- Capozzi
- Math