Find the indicated quantities for f(x) = 3x2.
(A) The average rate of change of fix) if x changes from 2 to 5.
(B) The slope of the secant line through the points (2,f(2)) and (5,f(5)) on the graph of y = f(x).
(C) The slope of the secant line through the points (2,f(2)) and (2 + h, f(2 + h)), h ≠ 0. Simplify your answer.
(D) The slope of the graph at (2,f(2)).
(E) The instantaneous rate of change of y = f(x) with respect to x at x = 2.
(F) The slope of the tangent line at (2,f(2)).
(G) The equation of the tangent line at (2,f(2)).