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**Unformatted text preview: **instantaneous velocity as the slope of the unique line that passes through the point and no other “nearby” points. Chapter 2.2 The Derivatve a± a Poin± Average Rate of Change • Let be a funcTon. ±he average rate of change on is • DeFne . ±hen the average rate of change on can be wri²en as Instantaneous Rate of Change • The instantaneous rate of change at is called the derivatve aT . • If this limit exists, we say that is diferentable aT . Interpretations • Graphically: • We can think of average rate of change as the slope of the line joining the points and . • This types of lines are called secant lines . • We can think of derivaTve as the slope unique line that passes through the point and no other “nearby” points. • Limit may not always exists....

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- Fall '15
- Statistics, Derivative, Slope, Velocity