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Calculus Help?
Study the list of concepts below. For part a. list all of the concepts that are equivalent to the rule given in part a. For part b. list all of the concepts that are equivalent to the statement given.
a. f(x+h)-f(x)
-----------
h
b. lim f(x+h)-f(x)
h->0 -----------
h
i. instantaneous rate of change of f(x) at x
ii. average rate of change of f(x) over (x, x+h)
iii. slope of the secant line
iv. slope of the tangent line
v. limit of the slopes of the secant line
vi. slope of the graph of f(x) at x
vii. derivative of f(x)
viii. f'(x)
