Can someone give me a hint how to solve $\left|\begin{array}{ccccc} 1 & 1 & \ldots & & 1\\ 2x_{1} & 2x_{2} & & & 2x_{n}\\ \vdots\\ nx_{1}^{n-1} & nx_{2}^{n-1} & \ldots & & nx_{n}^{n-1}\\ \\ \end{array}\right|$ ?
I know that I somehow have to use the Vandermonde determinant to do this, but I can't figure out how to get rid of the coefficients. Can someone give me a hint please ?