In the present paper, we introduce Bernstein--Chlodowsky--Gadjiev operators taking into consideration the polynomials introduced by Gadjiev and Ghorbanalizadeh [2]. The interval of convergence of the operators is a moved interval as polynomials given in [2] but grows as $n\to\infty$ as in the classical Bernstein--Chlodowsky polynomials. Also their knots are shifted and depend on $x$. We firstly study weighted approximation properties of these operators and show that these operators are more efficient in weighted approximating to function having polynomial growth since these operators contain a factor $b_n$ tending to infinity. Secondly we calculate derivative of new Bernstein--Chlodowsky--Gadjiev operators and give a weighted approximation theorem in Lipchitz space for the derivatives of these operators.