For a smooth curve given by the parametric equations x = (t) and y = g(t), prove that the curvature is given by K =

For a smooth curve given by the parametric equations x = ƒ(t) and y = g(t), prove that the curvature is given by

K = ['(t)g"(t) g'(t)"(t)[ {[f'(t)]+ [g'(t)]}/2.