Question: 4. Find the indicated quantities for f(x) = 3x2 (A) The average rate of change of (x) if x changes from 2 to 5. (B)

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