If $p(z)$ is a polynomial of degree $n$ such that $p(z) \neq 0$ in $|z| < k$, $1 \le k$, then Govil [Proc. Nat. Acad. Sci., Vol. 50, pp. 50-52, 1980] proved $\max_{|z|=1} |p'(z)| \le \frac{n}{1+k} \max_{|z|=1} |p(z)|$, provided $p'(z)$ and $q'(z)$ attain their maxima at the same point on the circle $|z|=1$, where $q(z) = z^n p(1/z)$. Equality in the above inequality holds for $p(z) = (z+k)^n$. In this paper, we extend the above inequality and an improved version of this into polar derivative of a polynomial.