d dx 347 24 8 XY dx xy 2xy Y xy 2y yy 2y 2xy 2x y dx JA 2 2xy dx y 2y yy 4xy2y 2x 2xyy yy 2x y 2xy xy 2y 27 X y 2x 2xy 4x 2y 24 xy dy x y 2 y 2 ry Y xy xy jz X2x y XX 2 1 2XX X XY y 2 x 2 y xy 2714y 2y 2xy xy 2 dy y 4x4 2y 2y Y 2x 2xy 4 If A x and h denote the area length of a side and altitude of an equilateral triangle respectively then they are related by the formulas A x and x 2 3 h Determine the rate of change of the area with respect to the altitude and determine the rate of change when h 3 3
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