Homework SourseFor the function gx xx3 perform the following analysis 5 on
For the function g(x) = x-x^3 perform the following analysis:
5. on the number line mark critical value/s c, and find signs (plus or minus) of the first derivative g\'(x) along each such interval.
6. Do/es the critical value/s c represent extreme value/s? If yes, state if it\'s min/max; if not, explain why in one short sentence.
7. Make approximate graph of the original function g(x)
5. on the number line mark critical value/s c, and find signs (plus or minus) of the first derivative g\'(x) along each such interval.
6. Do/es the critical value/s c represent extreme value/s? If yes, state if it\'s min/max; if not, explain why in one short sentence.
7. Make approximate graph of the original function g(x)
Solution
g\'(x)=1-3x2
g(x)\' is positive for all x<1/3
and negative afor all x>1/3
