Q5 info
Covers §§4.1, 4.2, 4.3
Quiz 5a
Time 25 min
NO CALCULATORS
Practice Q5 Quiz 5a
Time
30 min
2
Let
f (x)
sin
x +302§§4.1-4.3
sin x onExtremes
[0, 2π].
Thursday
October
203 Covers
Q5
will be
next=week,
Oct
Q3
am
Q5 i11
nfo
Let
f
(x)
=
sin
x
on
[0,
2π].
Covers
§§4.1-4.2 Extremes
Info
1) Differentiate
and simplify.
Q3 11am
Book Q5
Book
Practice
Q3 11am
Practice
Hw 9
1)
and simplify.
2) Differentiate
Find
all critical
4.1
Page 2813,
31, 35, numbers.
37, 39, 41, 49, 53, 55, 59
2)
Find
all
critical
numbers.
4.1
P
age 281
3,
31,
35,
37,
39, 41,test
49, 53,
55, 59
3) Use
first
4.3
Page the
2971,
5, 9,derivative
12, 13, 31, 35,
39,to43classify the local extremes
4.3
Page 297
1, 5, 9, 12, 13,
31, 35, 39, 43
3)
4) Find
Find all
all absolute
absolute extremes..
extremes..
Let f (x) = x3 (x − 1)2 on [−1, 2].
1) Differentiate and simplify.
2) Find all critical numbers.
3) Find all absolute extremes..
Quiz 8a
Time 20 min
√
2
2 on [−1, 1].
−2 xon
Let
f
(x)
=
x
Let f (x) = x(ln1x)
[e−3 , e3 ].
1)
1) Differentiate
Differentiate and
and simplify.
simplify.
2)
Find
all
critical
numbers.
2) Find all critical numbers.
3)
all absolute
extremes..
3) Find
Use the
first derivative
to find all local extremes.
Quiz 8c
Time 20 min
4) Find all absolute
extremes..
Let f (x) = sin2 x − cos x on the interval [0, 2π]..
1)Let
Differentiate
−x2 simplify.
f (x) = x2 eand
on [−2, 2].
2)
Find
all
critical
numbers.
1) Differentiate and simplify.
3)
extremes..
2) Find
Find all
all absolute
critical numbers.
other
Problems
3) Use the first derivative to find all local extremes.
LetFind
f (x)all
= absolute
cos x sin xextremes..
on the interval [−π, π].
4)
1) Differentiate and simplify.
4.4
Page
307
7, 11, 13, numbers.
17, 19, 25, 27, 55, 59
2) the
Find
all critical
In
following,
3)Differentiate
Find all absolute
extremes..
a)
and simplify
Compute
limits:
b)
Find allthe
critical
numbers.
c) Use the first derivative test to find allx local extremes.
ln x
1
d) Find absolute extremes.lim 1 +
x
lim
x
x→∞
x
x→0+
2
2
ln x on [1, e2 ]
f (x) = xe−x on 2[−1, 1] f (x) = x2x
lim x ln(x) lim √ 2
x→∞
x→0+
3xx2 on [−1, 1]
f (x) = sin x cos x on [0, π] f (x) = x2x −
1−