Problem

Find the indicated quantities for y = f(x) = 2x2 + 5:(A) The change in y if x changes from...

Find the indicated quantities for y = f(x) = 2x2 + 5:

(A) The change in y if x changes from 1 to 3


(B) The average rate of change of y with respect to x if x changes from 1 to 3


(C) The slope of the secant line through the points (1, f(1)) and (3, f(3)) on the graph of y = f(x)


(D) The instantaneous rate of change of y with respect to x at x = 1


(E) The slope of the line tangent to the graph of y = f(x) at x = 1


(F) f′(1)

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