Timeline for monotonicity of a function
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 11, 2016 at 14:00 | history | undeleted | MathGuy1991 | ||
| Jan 11, 2016 at 14:00 | history | deleted | MathGuy1991 | via Vote | |
| Jan 9, 2016 at 22:27 | comment | added | MathGuy1991 | @Survit, I took the derivative of the log and used Jensen mean inequality to proof that the derivative is negative, and it works :). Thanks a lot again. | |
| Jan 9, 2016 at 21:30 | comment | added | Suvrit | @FanZheng I did so directly first, but the resulting objects looked a bit simpler after taking logarithms, so I recommended it. | |
| Jan 9, 2016 at 21:21 | review | Suggested edits | |||
| Jan 9, 2016 at 21:51 | |||||
| Jan 9, 2016 at 21:19 | comment | added | Fan Zheng | @Suvrit Why don't you take the derivative directly? $(\log f)'=f'/f$ has the same sign as $f'$. | |
| Jan 9, 2016 at 20:48 | comment | added | Suvrit | Take logarithms, take derivative, simplify using mathematica, it seems to work out. | |
| Jan 9, 2016 at 20:46 | comment | added | Igor Rivin | It IS monotonically decreasing for $a=b,$ so no need to set $a\neq b.$ | |
| Jan 9, 2016 at 19:12 | history | edited | MathGuy1991 | CC BY-SA 3.0 |
edited body
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| Jan 9, 2016 at 19:09 | comment | added | MathGuy1991 | @seva Hi , it is the whole $(\sinh((a-b)x))^2$. Actually it is not a homework problem. It's a green kernel from some operator that I want to study. I tried to study the derivative, but it is not obvious at all. | |
| Jan 9, 2016 at 18:59 | comment | added | Seva | What is squared in the numerator: ${\rm sinh}$ or its argument only? What is the motivation behind this question? (Sounds like a homework problem to me, and asking homework questions is strongly discouraged at this site.) | |
| Jan 9, 2016 at 18:14 | review | First posts | |||
| Jan 9, 2016 at 18:23 | |||||
| Jan 9, 2016 at 18:12 | history | asked | MathGuy1991 | CC BY-SA 3.0 |