Worksheet 2.9 - Derivatives Of Exponential Functions With Answers
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6Calculus Maximus
WS 2.9: Derivs of Exp Functs
Name_________________________________________ Date________________________ Period______
Worksheet 2.9—Derivatives of Exponential Functions
Show all work. No calculator unless otherwise stated.
Short Answer
dy
For 1 – 8, Find
. You do not need to simplify your answers.
dx
2
2
+
2
x
2
x
2
x
2
sin
x
2
x
=
y =
=
+
=
−
1.
y
e
2.
6
3.
y
sin
x
2
4.
y
xe
e
−
x
x
(
)
+
e
e
3
−
−
x
x
3/
x
xy
2
2
=
=
−
=
=
+
+
5.
y
6.
y
2
e
e
7.
y
2
8.
5 3
e
x y xy
4
9. Find the equation of the indicated line to the graph of the given equation at the indicated point.
( )
x
x
y
x
x
=
−
x = , tangent line
+
+ =
(a)
at
1
(b)
at
0,1 , normal line
y
xe
e
xe
ye
1 2
e
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