Constructing c-optimal designs for polynomial regression with no intercept

The paper is devoted to the problem of constructing c-optimal design for polynomial regression with no intercept. A special case of $c = f'(z)$ is considered (i. e., the vector of derivatives of regression functions at some point $z$ is selected as the vector $c$). A brief review of the analytical results are available in the literature is given. An effective numerical method for constructing $f'(z)$-optimal designs is proposed in those cases when an analytical solution cannot be provided.