Question 11: What is the difference between the maximum and minimum value of the function \(y=x^{3}-3 x^{2}+4\)?
\(\begin{array}{l} y^{\prime}=3 x^{2}-6 x=3 x(x-2) \\ y^{\prime}=0 \Leftrightarrow 3 x(x -2)=0 \Leftrightarrow\left[\begin{array}{l}x=0\\x=2\end{array}\right\\y_{CD}-y_{CT}=y(0)-y(2)=4\end{array}\)
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