Asked by cindy999
find the absolute minimum of
f(x) = x - ln x
f(x) = x - ln x
Answers
Answered by
Reiny
f'(x) = 1 - 1/x
= 0 for a max/min
so 1/x = 1
x = 1
f(1) = 1 - ln1
= 1-0
= 1
so the min is 1 when x = 1
= 0 for a max/min
so 1/x = 1
x = 1
f(1) = 1 - ln1
= 1-0
= 1
so the min is 1 when x = 1
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