Worksheet 2.9 - Derivatives Of Exponential Functions With Answers Page 5
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6Calculus Maximus
WS 2.9: Derivs of Exp Functs
_____ 19. The figure above shows the graph of the function f and the line tangent to the graph of f at
( )
( )
( )
x
g ′ − ?
x = − . Let g be the function given by
=
⋅
2
g x
e
f x
. What is the value of
2
6
3
3
3
−
−
−
(A)
(B) 0
(C)
(D)
(E) 3
2
2
2
3
e
e
e
e
( )
( )
−
( )
x
1
=
+
=
_____ 20. Let f be the function defined by
f x
3
x
2
. If
g x
f
x
for all x and the point
( )
( )
g ′
0,1 is on the graph of f, what is the value of
?
1
1
1
1
1
1
(A)
(B)
(C)
(D)
(E)
+
3
4
5
3 ln 2
5 ln 2
Page 5 of 6
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