Definition:
Derivative
Let
f
be a function with domain
D
in
R
, and
D
is an open set in
R
. Then the
derivative
of
f
at the point
c
is defined as
f'(c) =
If that limit exits, the function is called
differentiable
at
c
. If
f
is differentiable at every point in
D
then
f
is called differentiable in
D
.
Other notations for the derivative of
f
are
or
f(x)
.
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(bgw)
or
f(x).
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