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Mathematics
Problem
In one or two sentences, describe why the value to which the difference quotient
f
(
a
+
h
)
−
f
(
a
)
h
\dfrac{f(a+h)-f(a)}{h}
h
f
(
a
+
h
)
−
f
(
a
)
approaches as
h
h
h
becomes very small represents the instantaneous rate of change of
f
f
f
at
x
=
a
x=a
x
=
a
.
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