How do you find the maximum, minimum, and inflection points for #h(x) = 7x^5 - 12x^3 + x#?
1 Answer
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.
Inflection points:
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