Worksheet 2.9 - Derivatives Of Exponential Functions With Answers Page 4
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6Calculus Maximus
WS 2.9: Derivs of Exp Functs
rx
=
_____ 16. Determine all values of r for which the function
satisfies the equation
y e
2
d y
dy
−
−
=
2
8
y
0
2
dx
dx
r =
(A)
2, 4
r = −
(B)
3, 5
r = −
(C)
4, 2
r = −
−
(D)
4,
2
r = −
(E)
2, 4
( )
(
)
−
f ′
=
2
x
+
2
x
_____ 17. If f is the function defined by
f x
e
6
e
, find the value of
.
ln 2
(A) 6
9
(B)
2
11
(C)
2
(D) 5
13
(E)
2
( )
( )
3 2x
′
=
≥ ?
18. If
f x
x e
, on what interval(s) is
f x
0
⎡
⎞
3
]
(
−∞
∪
∞ ⎟
(A)
,0
,
⎢ ⎣
2
⎠
⎛
3
⎤
−∞ −
(B)
,
⎜
⎥
⎝
2
⎦
⎛
⎤
3
[
)
−∞ −
∪
∞
(C)
,
0,
⎜
⎥
⎝
2
⎦
⎡
3
⎞
−
∞ ⎟
(D)
,
⎢ ⎣
⎠
2
⎛
⎤
3
−∞
(E)
,
⎜
⎥
⎝
2
⎦
Page 4 of 6
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