The equation of a curve is 2x4 + xy3 + y4 = 10. i) Show that dy/dx=(8x3+y3)/(3xy2+4y3). ii) Hence...

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The equation of a curve is 2x4 + xy3 +y4 = 10.
i) Show thatdy/dx=(8x3+y3)/(3xy2+4y3).

ii) Hence show that there are two points on the curve at whichthe tangent is parallel to the x-axis and find the coordinates ofthese points.

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