Extrema On An Interval Worksheet With Answers- Calculus Maximus Ws 3.1 Page 3
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7Calculus Maximus
WS 3.1: Extrema on an Interval
5. Find the absolute extrema of f on the given interval.
(
)
3
[
]
[
]
( )
( )
3
2
2
=
−
−
+ ,
−
=
−
−
(a)
f x
2
x
3
x
12
x
1
2,3
(b)
f x
x
1
,
1, 2
π
⎡
⎤
[ ]
( )
(
)
( )
3
=
− ,
=
+
(c)
f t
t
8
t
(d)
, 0,
0,8
f x
sin
x
cos
x
⎢
⎥
⎣
3
⎦
6. (Calculator Permitted) Using your calculator’s equation solving capability (not just its max/min finding
x
−
ln
x e
[ ]
( )
=
ablity), find the extrema of the
f x
on the interval
1,3 . Be sure to show the equation
x
you’re solving and you justification via the Closed Interval Argument.
Page 3 of 7
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