The equation of a curve is 2x4 + xy3 + y4 = 10. i) Show that...

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

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

Expert Solution

milcah answered 2 years ago

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