Given $f(x) = x^2 - 2x$,
(A) Find $f'(x)$,
(B) Find the slopes of the lines tangent to the graph of $f$ at $x = -3$,
0, and 4
(C) Graph $f$, and sketch in the tangent lines at $x = -3$, 0, and 4.
(A) $f'(x) = 2x - 2$
(B) The slope of the tangent line at $x = -3$ is $-8$.
The slope of the tangent line at $x = 0$ is $-2$.
The slope of the tangent line at $x = 4$ is $6$.
(C) Graph $f$, and sketch in the tangent lines at $x = -3$, 0, and 4.