(Section 1.11: Limits and Derivatives in Calculus) 1.11.7 Using Form 3 of a difference quotient, The average velocityon the time-interval a,a+h±²³´, if h>0, or a+h,a±²³´, if h<0, is given by: sa+h()±h• This equals the slope of the secant lineto the graph of son the interval. • (See Footnote 2 on the h<0 case.) Let’s assume there exists a non-vertical tangent lineto the graph of sat the point a,. • Then, as h±
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