How do you find the maximum, minimum, and inflection points for #h(x) = 7x^5 - 12x^3 + x#?
Maximum and minimum:
Find critical numbers for
Which has 4 solutions
Now, test each critical number using either the first or second derivative tests for local extreme values.
Write your answer in your instructor's preferred form.
So concavity could change at
A quick check of the sign (or an observation the these are all single zeros (i.e. not even multiplicity)) shows that the sign of
The inflection points are:
(If you are required to find the