Chapter 2.4, Problem 58E

(A)

To determine

To find: The derivative of $f\left(x\right)=4x-x^2+1$.

(B)

To determine

To find: The slope of the tangent lines to the graph of f at $x=0$, $x=2$ and $x=4$.

(C)

To determine

To sketch: The graph of the function and the tangent lines to the graph at $x=0,x=2$ and $x=4$.