In Problem, the tangent line to the graph of f (x) at x = 1 is shown.

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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.

y +++ A -2 y = f(x)

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