Let be defined for all real numbers except at such that whose derivatives are given by

and

a) Find the interval(s) of concave upward/concave downward of

b) At what value(s) of x does the function have point(s) of inflection?

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- Apr 23rd 2010, 12:22 AMdrahcirnawConcavity & Points of Inflection
Let be defined for all real numbers except at such that whose derivatives are given by

and

a) Find the interval(s) of concave upward/concave downward of

b) At what value(s) of x does the function have point(s) of inflection? - Apr 23rd 2010, 03:46 AMione
a) Find the interval(s) of concave upward/concave downward of

is concave upward when

is concave downward when

For , and so

when and

when

b) At what value(s) of x does the function have point(s) of inflection?

has a point of inflection where it changes concavity