What is the smallest value of a for which the inequality https://webwork.math.su.se/webwork2_...5445c9ff01.png is observed for x> 0?

what i thought is that i put x = 1 and solve it but did not work well :(

Printable View

- Nov 13th 2012, 08:08 AMPetrusInequalities
What is the smallest value of a for which the inequality https://webwork.math.su.se/webwork2_...5445c9ff01.png is observed for x> 0?

what i thought is that i put x = 1 and solve it but did not work well :( - Nov 13th 2012, 08:26 AMebainesRe: Inequalities
You can rearrange to $\displaystyle 2 \ln x - 3x^2 - 6x \le a$, then find the max value for the left hand side in the interval x>0. That max value is the value for a.

- Nov 13th 2012, 08:29 AMPetrusRe: Inequalities
- Nov 13th 2012, 08:38 AMebainesRe: Inequalities
- Nov 13th 2012, 08:44 AMPetrusRe: Inequalities
- Nov 13th 2012, 09:24 AMebainesRe: Inequalities