(Section 1.11: Limits and Derivatives in Calculus)
1.11.3
Below, we let
x
approach
a
Below, we let
x
approach
a
from the
right
x
±
a
+
()
.
from the
left
x
±
a
²
.
(
S
e
e
F
o
o
t
n
o
t
e
2
.
)
• We define the
slope
of the tangent line to be the (two-sided)
limit
of the
difference quotient as
x
approaches
a
, if that limit exists.
• We denote this slope by
±
fa
, read as “
f
prime of (or at)
a
.”
±
, the derivative
of
f
at
a
, is the
slope
of the tangent line
to the graph

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