SumDiffQuot

# SumDiffQuot - Summary of Difference Quotients(a h,f(a h...

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(a,f(a)) (a+h,f(a+h)) f(a+h)-f(a) h y=f(x) Summary of Difference Quotients Difference Quotient: ( ) ( ) f a h f a h + - Slope of secant line between the points (a,f(a)) and (a+h, f(a+h)) In general, as h tends to 0 (gets smaller), the secant lines tend toward the tangent line at (a,f(a)). So the slopes of the secant lines tend to the slope of the tangent line at (a,f(a))
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Unformatted text preview: In Calculcus:-Average rate of change (average velocity): measured over an interval of time, slope of secant line-Instantaneous rate of change (instantaneous velocity): measured at a specific time, slope of tangent line In MTH 116: Use difference quotients to find average rate of change and slope of secant lines...
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