calculus
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find the absolute maximum and minimum values of f on the given interval
f(x)= (x^24)/(x^2+4), [4, 4]

find f'(x)
set f'(x)=0 to find the critical values.
when looking for the min and max include the intervals with the critical numbers
f'(x)= [2x(x^2+4)(2x(x^24)]/[(x^2+4)^2]
simplify....
and set equal to zero
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