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(Section 1.11: Limits and Derivatives in Calculus)
1.11.6
PART C: INSTANTANEOUS RATE OF CHANGE and
INSTANTANEOUS VELOCITY
The instantaneous rate of change
of
f
at
a
is equal to
±
fa
()
, if it exists.
The following development of instantaneous velocity will help explain the
association between the slope of a tangent line and instantaneous rate of change.
Example 1 (Velocity)
A car is driven due north for two hours, beginning at noon.
How can we find the instantaneous velocity of the car at 1pm?
(If this is positive, this can be thought of as the
speedometer
reading
at 1pm.)
Re Example 1: Definitions

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