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critical point(s) and its absolute extrema

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For the following function, find all its critical point(s) and its absolute extrema.

[ Note: If there is more than one answer enter separated by commas.]

f(x) = 21 sqrt(x^(2)+38) - 12x, 0 < [or equal to] x < [or equal to] 14.

Answers:

The critical point(s) of f(x) is/are x=_____

f attained its absolute maximum value at x=______, and its absolute maximum value is________

f attained its absolute minimum value at x=________, and its absolute minimum value is________

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This posting assists to find all its critical point(s) and its absolute extrema.

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