If p(z) is a polynomial of degree n such that p(z)  0 in z  k , k 1 , then Govil [ Proc. Nat. Acad. Sci., Vol. 50, pp. 50-52, 1980. ] proved ( ) p(z) k n p z z n z 1 1 max 1 max = + =   , provided p (z) and q (z) attain their maxima at the same point on the circle z = 1 , where ( )       = z q z z p n 1 . Equality in the above inequality holds for ( ) n n p z = z + k . In this paper, we extend the above inequality and an improved version of this into polar derivative of a polynomial.