Precalc0110to0111-page17

Precalc0110to0111-page17 - (Section 1.11: Limits and...

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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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