2.1 - Tangent Line Problem Worksheet With Answers - Calculus Maximus
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7Calculus Maximus
WS 2.1: Tangent Line Problem
Name_________________________________________ Date________________________ Period______
Worksheet 2.1—Tangent Line Problem
Show all work. No calculator permitted, except when stated.
Short Answer
( )
′
1. Find the derivative function,
, for each of the following using the limit definition.
f x
(
)
( )
+
−
f x h
f x
( )
′
=
f x
lim
h
→
h
0
3
( )
( )
( )
2
=
+
−
=
=
−
(a)
f x
2
x
3
x
4
(b)
f x
(c)
f x
x
2
−
x
1
2. Find the slope of the tangent lines to the graphs of the following functions at the indicated points. Use
the alternate form.
( )
( )
−
f x
f c
( )
′
=
f c
lim
−
x c
→
x c
( )
(
)
( )
= −
−
= −
2
x =
(a)
at
(b)
g x
5
x
at
f x
3 2
x
1,5
2
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