
Intervals
For y=(1/4)x^4(2/3)x^3+(1/2)x^23 find the exact intervals on which the function is:
a) increasing
b) decreasing
c) concave up
d) concave down
Then find any
e) local extreme values
f) inflection points
I graphed this and came up with the following answers:
a) (0, infinity)
b) ( infinity, 0)
c) (infinity, infinity)
d) none
e) Min: 3 at x=0
Max: none
f) none
Does that look right?

aren't you supposed to use information from the first and second derivatives to analyze the function, rather than just looking at a graph?

Ok so x^32x^2+x would be the first derivative...
and the second one would be 3x^24x+1 ?
I still don't know how to do it without graphing...but I guess I could graph those two?

have you learned about the first and second derivative tests and what they can tell you about a function?