In Problem the tangent line to the graph of f(x) at x = 1 is shown. On the tangent line, P is the point of tangency and A is another point on the line.
(a) Find the coordinates of the points P and A.
(b) Use the coordinates of P and A to find the slope of the tangent line.
(c) Find f'(1).
(d) Find the instantaneous rate of change of f(x) at P.