AP Calculus
Period-Row _
Name
Ch. 3 Review
Date
Find the absolute extrema of the given function on the indicated interval. (3.1)
1. () = 3 3 + 1 on [0, 2]
2. Determine the intervals where the function is increasing or decreasing. (3.1)
() =
1
2
Find the
AP Calculus Name W
Period-Row ate 90 |§ . "—
Ch. 3 Review
Find the absolute extrema ofthe given function on the indicated interval. (3.1)
1. f(x) =x3—3x+ Ion [0,2]
M) 3 1 3—316—0—0 ¥(0):O;'3(U>H‘l
‘x: 7.‘ — _
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AP Calculus Name _._—————-——
Pe I'iOd-Row Date _l‘_‘(_'_———
3.4 — Concavity & the Second Derivative Test
'f POSSEbIE, use the Second Derivative Test to ﬁnd the relative extrema for the function. Jr 1 f" '2
., " r
1- f(x)=3x—x3+5 2. y=3x5—25x3+60x+20 5
AP Calculus Name jig:
Period-Row Date WW
3.7 — Optimization Worksheet #1
I. Find two nonnegative numbers whose sum is a 100 and whose product is a maximum.
‘PY-‘WkMta: ?: K' ‘3 03 K 9. \00, 923‘. ‘50 93A DWVMVQ "ﬂ*
SeLmM= X+~23=WO 1,": -1 <0 90 (>00 \Z CC
Note: This essay was originally published in 1928 (long before computer networks were
invented :-) ) and discussed size in the natural (biological) world and systems. As you
read it, think about whether there is a "right size" for a network (or a piece of
AP Calculus
Period-Row _
Name
Date
Ch. 3 Quiz #2 - No Calculators Allowed
1. Given the graph of the derivative, , of a function (), determine the following for ():
a. Interval(s) on which () is increasing
b. Interval(s) on which () is decreasing
c.
-value
AP Calculus Name _._—————-——
Pe I'iOd-Row Date _l‘_‘(_'_———
3.4 — Concavity & the Second Derivative Test
'f POSSEbIE, use the Second Derivative Test to ﬁnd the relative extrema for the function. Jr 1 f" '2
., " r
1- f(x)=3x—x3+5 2. y=3x5—25x3+60x+20 5
11%
; Is) at which f (x) has a relative maximum 7‘ t
e. lnterval(s) on which f(x) is concave up (- DO: \ 2 , C559 2
f. lnterval(s) on which f (x) is concave down 0 3 (9 0")
g. x-valuels) at which f(x) has a point of inflection g " l ,5 , (a
,1