<s>[INST] ### 4.3 Plotting Derivatives
Consider the functions \(f(x)=4x-x^{2}\) and \(g(x)=f^{\prime}(x)=4-2x\), and analyze how they are related algebraically and graphically.

The graph of \(g(x)\) starts at \(x=-1\) at value \(6\) and decreases linearly down to the value \(2\) at \(x=1\).
* Write an English statement that describes the relationship between \(f(x)\) and \(g(x)\).
* How does the graph of \(g(x)\) relate to the graph of \(f(x)\)?[/INST]