find the radius of the curvature
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The radius of curvature of a curve y= f(x) at a point is (1+(dydx)2)3/2|d2ydx2| ( 1 + ( d y d x ) 2 ) 3 / 2 | d 2 y d x 2 | . It is the reciprocal of the curvature K of the curve at a point. R = 1/K, where K is the curvature of the curve and R = radius of curvature of the curve.
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