WANT TO KNOW
HOW WILL I KONW THAT A FUNCTION IS CONVEX OR CONCAVE IN A CERTAIN INTERVAL?IS THERE ANY WAY TO KNOW THAT A FUNCTION IS CONVEX OR CONCAVE WITHOUT DRAWING ITS GRAPH?
Re: WANT TO KNOW
Pritom, welcome to the forum. But do you know that writing with your caps lock on means that you are shouting at people? There are some rules (known as netiquette) that you should follow when writing mail or posting in some forum.
Please read point 7: http://www.cit.griffith.edu.au/~davidt/ ... quette.htm
and edit your post.
Please read point 7: http://www.cit.griffith.edu.au/~davidt/ ... quette.htm
and edit your post.
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Re: Convex function
Answer to your question.
You can just check it by double differentiation.
If $f(x)$ is a function, $f'' (x) \geq 0$ iff (if and only if) $f(x)$ is convex, and it is concave iff $f'' (x) \leq 0$
You can read more here: http://en.wikipedia.org/wiki/Convex_function
You can just check it by double differentiation.
If $f(x)$ is a function, $f'' (x) \geq 0$ iff (if and only if) $f(x)$ is convex, and it is concave iff $f'' (x) \leq 0$
You can read more here: http://en.wikipedia.org/wiki/Convex_function
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Re: WANT TO KNOW
... and Moon v. please read point 8. LOL
"Go down deep enough into anything and you will find mathematics." ~Dean Schlicter
Re: WANT TO KNOW
Ha ha...I am not sure if that was an "angry outburst" 
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.