Instead of the usual defination of derivatie Df(x), if we define a new kind of derivatie $D^{\ast }F\left(x\right)$ by the formula $D^{\ast }\left(x\right)=\underset{h\to 0}{\lim }\frac{f^2\left(x+h\right)-f^2\left(x\right)}{h}.\text{ where }{f}^2\left(x\right)\text{ means }{\left[f\left(x\right)\right]}^2$ and if f(x)=x log x, then $D^{\ast }f\left(x\right){\mid }_{x=e}$ has the value

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