Maximizing $\frac{ax}{cx+d}$ over $[0,1]$ using CVX

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I have the following concave function

$$f(x)=\frac{ax}{cx+d}$$

where $a, c, d > 0$ and $0 \le x \le 1$. How can I use CVX tools to maximize $f(x)$?

It seems that the CVX does not support such structure even if $f(x)$ is concave.