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Tangent Lines and Derivatives
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Problem 7
Tangent Lines and Derivatives
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2. Intro to Derivatives / Tangent Lines and Derivatives / Problem 4
Problem 4
Use the following limit definition to determine the slope of the line tangent to the graph of
f
f
at
P
P
, where
f
(
x
)
=
4
3
x
−
2
f\left(x\right)=\frac{4}{3x-2}
and
P
(
0
,
−
2
)
P\left(0,-2\right)
:
m
tan
=
lim
h
→
0
f
(
a
+
h
)
−
f
(
a
)
h
m_\text{tan}=\displaystyle \lim_{h \to 0}{\frac{f(a+h)-f(a)}{h}}
A
−
12
-12
B
−
6
-6
C
−
3
-3
D
9
9
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