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FTC I








power rule for all real numbers

power rule for whole numbers (positive integers)

Rolle's Theorem
 if: f(x) = k (equals a constant),
 then: f'(x) = 0 everywhere
 if: f(x) is not a constant, f(x) > f(a) or f(x) < f(a)
 then: by EVT (that f(x) has abs max/min if cont. over a closed interv), f(x) has an extremum #c in (a,b)


