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Verify Lagranges mean value theorem f...

Verify Lagranges mean value theorem for `f(x)=x(x-1)(x-2)` on `[0,\ 1//2]`

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`f(x)=x(x-1)(x-2)=x(x^{2}-2 x-x+2)=x(x^{2}-3 x+2)=x^{3}-3 x^{2}+2 x`

`f(x)` is polynomial function so it is continuous in `[0,1 / 2]` and differentiable in `[ 0,1 / 2]` `f(x)=c^{3}-3 c^{2}+2 c `

`f(c)=3 c^{2}-6 c+2 `

`f(c)=0`

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