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DERIVATIVE OF ARC LENGTH

DERIVATIVE OF ARC LENGTH. Let y = f(x) be the equation of a given curve. Let A be some fixed point on the curve and P(x,y) and Q(x+ ? x, y+ ? y) be two neighbouring points on the curve as shown in the Figure 1 . Let arc AP = S, arc PQ = ? S and the chord PQ = ? c.

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DERIVATIVE OF ARC LENGTH