Please see attached.
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Form the fundamental theorem of calculus: ,
c) is increasing from at untill from where it
decreases to at .
Hence the mininmum of is which occures when
x=1 is the only point of inflection the second derivative is positive to the
left of the point and negative to the right. At no other point is there a
change of sign of the second derivative and so there are no other points
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