Show that the equation of the tangent plane to the ellipsoid x 2 /a 2 + y

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Show that the equation of the tangent plane to the ellipsoid x2/a2 + y2/b2 + z2/c2 = 1 at the point (x0, y0, z0) can be written as

xx0/a2 + yy0/b2 + zz0/c2 = 1

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