# Global maxima & minima

by dev70
Tags: global, maxima, minima
 P: 11 A global maximum is the absolute greatest value that a function reaches on its domain. For example, the function $f(x)=x^3+x^2-17 x+15$ has no global maximum, but $g(x)=\sin(x)$ has global maxima at $(\frac{\pi}{2}+2\pi n,1),\,\,n\in\mathbb{Z}$. A local maximum is the greatest value that a function reaches within a subset of its domain. For example, the local maximum of $f(x)$ on the set [itex]\{x\colon -5