Extrema On An Interval Worksheet With Answers- Calculus Maximus Ws 3.1 Page 5
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7Calculus Maximus
WS 3.1: Extrema on an Interval
( )
(
)
2
4/5
=
−
_____ 10. Find all the critical values of f when
f x
x
x
5
. Be sure to factor out least powers
after differentiating.
5
10
5
5
10
10
(A)
0,
(B)
, 5
(C)
, 5
(D)
0,
, 5
(E)
0,
(F)
0,
, 5
7
7
7
7
7
7
[
]
( )
2
=
−
+
−
11. Let f be the function defined by
on
.
f x
x
1
x
2
1, 0
( )
′
_____ (i) Find
f x
by factoring out least powers.
2
−
1 2
x
( )
′
=
(A)
f x
2
−
1
x
2
−
1
x
( )
′
=
(B)
f x
2
2
x
2
−
2
x
( )
′
=
(C)
f x
2
−
1
x
( )
2
′
=
−
(D)
f x
1
x
2
x
( )
′
=
(E)
f x
2
−
1
x
( )
(
)
−
_____ (ii) Find all the critical values of
f x in
1, 0
.
1
x = −
(A)
2
1
x = ±
(B)
2
1
x = ±
(C)
2
1
x =
(D)
2
1
x =
(E)
2
Page 5 of 7
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