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05: A curve is defined by the equation Xzy + y3 = 2X + 1 . (a) Using the implicit differentiation, find the gradient of

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05: A curve is defined by the equation Xzy + y3 = 2X + 1 . (a) Using the implicit differentiation, find the gradient of the curve at the point (2, 1). (b) Show that the xcoordinate of any stationary point on this curve satisfies the equation 1 =x+1 x3

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