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Unformatted text preview: lim x a f ( x ) -f ( a ) x-a Example: Look back to example 2.2 page 107 with the slope of the tangent to the curve y = 2^x at point (0,1) Form 2 Slope of tangent line connecting points P and Q P(a, f(a)) and BUT let Q =(a+h, f(a+h)) Slope of secant line f ( a + h ) -f ( a ) a + h-a = f ( a + h ) -f ( a ) h Slope of the tangent line at point P= (a, f(a)) lim h f ( a + h ) -f ( a ) a Examples #16 Describing the two runners #20 Find the average velocities and instantaneous...
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