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The definition of a derivative at x=a of a function f(x) involves: a. left and right jumps of f(x) at x=a. b. continuity of f(x)

The definition of a derivative at x=a of a function f(x) involves:

a. left and right jumps of f(x) at x=a.

b. continuity of f(x) at x=a.

c. limits and average rates of changes of f over intervals [a,a+h].

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