Worksheet 3.3 - Increasing, Decreasing, And 1st Derivative Test - Calculus Maximus Page 3
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5Calculus Maximus
WS 3.3: Inc, Dec, and 1st Deriv Test
_____ 5. Which of the following statements about the absolute maximum and absolute minimum values of
3
2
−
−
−
x
4
x
6
x
1
[
( )
)
=
f x
on the interval
0,∞ are correct? (Hint: Think of what type of
+
x
1
≠
0
0
( )
discontinuity does
f x have???
or
)
0
0
=
(A) Max 13
, No Min
29
= −
(B) No Max, Min
4
29
=
= −
(C) Max 13
, Min
4
= , No Min
(D) Max 5
= −
(E) No Max, Min
1
(
)
( )
3
′
=
−
_____ 6. (Calculator Permitted) The first derivative of the function f is defined by
f x
cos
x
x
≤ ≤ . On what intervals is f increasing?
for 0
x
2
≤ ≤
(A) 0
x
1.445
only
≤ ≤
(B) 1.445
x
1.875
≤ ≤
(C) 1.691
x
2
≤ ≤ and 1.691
≤ ≤
(D) 0
x
1
x
2
≤ ≤
≤ ≤
(E) 0
x
1.445
and 1.875
x
2
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