Example 4. Given the function $f(x)=x^{2}-3 x+2$. Calculate $f^{\prime}(-1)$, $f^{\prime}(0), f^{\prime}(1), f^{\prime}(2)$.
Solution. First, we find the derivative of the given function

$$
f^{\prime}(x)=2 x-3
$$

Substituting the values of the argument $x$ into the expression for the derivative, we get:

$$
\begin{gathered}
f^{\prime}(-1)=2(-1)-3=-5 ; f^{\prime}(0)=2 \cdot 0-3=-3 \\
f^{\prime}(1)=2 \cdot 1-3=-1 ; f^{\prime}(2)=2 \cdot 2-3=1
\end{gathered}
$$