Thread: Calculus Problem

Please see attached.

a)

b)

Form the fundamental theorem of calculus:

,

so:

.

RonL

c)

is increasing from at untill from where it
decreases to at .

Hence the mininmum of is which occures when

RonL

d)

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
of inflection.

RonL