Find the point(s) on the curve :
(i) `y=(1)/(4)x^(2)`, where the slope of the tangent is `(16)/(3)`
(ii) `y=x^(2)+1`, at which the slope of the tangent is equal to :
(I) x - coordinate (II) y - coordinate.

Answer

`((32)/(3),(256)/(9))`
(ii) (I) (0, 1) (II) (1, 2)