Precalc0110to0111-page18

Precalc0110to0111-page18 - (Section 1.11: Limits and...

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(Section 1.11: Limits and Derivatives in Calculus) 1.11.7 Using Form 3 of a difference quotient, The average velocity on the time-interval a , a + h ± ² ³ ´ , if h > 0 , or a + h , a ± ² ³ ´ , if h < 0 , is given by: sa + h () ± h • This equals the slope of the secant line to the graph of s on the interval. • (See Footnote 2 on the h < 0 case.) Let’s assume there exists a non-vertical tangent line to the graph of s at the point a , . • Then, as h ±
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