\(f'=\left(2x+1\right)'\cdot\sqrt{2x-x^2}+\left(2x+1\right)\cdot\sqrt{2x-x^2}'\)
\(=2\sqrt{2x-x^2}+\left(2x+1\right)\cdot\dfrac{\left(2x-x^2\right)'}{2\sqrt{2x-x^2}}\)
\(=2\sqrt{2x-x^2}+\left(2x+1\right)\cdot\dfrac{2-2x}{2\sqrt{2x-x^2}}\)
\(=2\sqrt{2x-x^2}+\left(2x+1\right)\cdot\dfrac{1-x}{\sqrt{2x-x^2}}\)
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