Question: 8. Find the minimum value(s] of the function ?(?) = ? ? -2? ?'(?) = (? ? -2?) ? '(?) =? ?-2 Let's find the

8. Find the minimum value(s] of the function ?(?)
8. Find the minimum value(s] of the function ?(?) = ? ? -2? ?'(?) = (? ? -2?) ? '(?) =? ?-2 Let's find the critical numbers. ?'(?) =0 ?? -2=0 ?? =2 ? = In 2 Interval ?'(?) =? ? -2 Increasing or Decreasing X In2 + Increasing Note since the function changes we have a minimal point at the value ? = In(2) Minimum point ?(In(2)) = ? (2) - 2 1n(2) = 2 - 2 In(2) . The minimum point is (In(2), 2 - 2 In(2))

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