Worksheet 2.9 - Derivatives Of Exponential Functions With Answers Page 3
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6Calculus Maximus
WS 2.9: Derivs of Exp Functs
Multiple Choice
⎛
−
⎞
2
x
2
x
+
2
e
5
e
_____ 13. Find the value of
lim
⎜
⎟
−
2
x
2
x
−
e
4
e
→∞
x
⎝
⎠
1
5
1
−
−
−
(A) 2
(B)
(C) 2
(D)
(E)
2
2
4
( )
( )
+
′
=
3
x
4
_____ 14. Determine
f x
when
f x
e
+
3
x
4
3
e
( )
′
=
(A)
f x
+
3
x
4
3
( )
+
′
=
3
x
4
+
(B)
f x
e
3
x
4
2
+
3
x
4
3
e
( )
′
=
(C)
f x
+
2 3
x
4
( )
+
′
=
3
x
4
(D)
f x
3
e
+
3
x
4
e
( )
′
=
(E)
f x
+
2 3
x
4
( )
( )
dy
x
x
x
=
+
_____ 15. Find
when
y
cos
e
e
sin
e
dx
( )
dy
=
2
x
x
(A)
e
sin
e
dx
( )
dy
=
2
x
x
(B)
e
cos
e
dx
( )
dy
= −
2
x
x
(C)
e
cos
e
dx
dy
( )
=
x
x
(D)
e
cos
e
dx
dy
( )
= −
2
x
x
(E)
e
sin
e
dx
Page 3 of 6
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