Question

suppose f(x)=1/1+x^3
a) find and classify all extrema
b)determine where f(x) is increasing and decreasing
c)find all inflection points
d)determine where f(x) is concave up and concave down

Answer 1

since there is no range/ domain

first derivative and set to zero to find critical points
2nd derivative and set to zero to find inflection points

Answer 2

is the first derivative just 3x?

Answer 3

im confused

Answer 4

I don't think the that's the correct derivative. Try again.

Answer 5

3x^2?

Answer 6

yes, cant believe i screwed up that derivative...

Answer 7

so then the second derivative is 6x?

Answer 8

yes

Answer 9

ok, so set them equal to zero and they both equal zero