2.1 - Tangent Line Problem Worksheet With Answers - Calculus Maximus Page 4
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7Calculus Maximus
WS 2.1: Tangent Line Problem
( )
( )
7. The graph of a function
f x is show above. For which value(s) of x is the graph of
f x not
differentiable. In each case, explain why not.
( )
( )
′
= . Find
8. For each of the following, the limit represents
f c
for a function
f x and a number x c
both f and c.
(
)
(
)
3
⎡
−
+
⎤
−
− +
+
5 3 1
h
2
2
h
8
⎣
⎦
(a)
lim
(b)
lim
h
h
→
→
h
0
h
0
2
−
+
−
x
36
2
x
6
(c)
lim
(d)
lim
−
−
x
6
x
9
→
→
x
6
x
9
Page 4 of 7
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