global maxima & minima

hi pf, this is my 1st math question. i am a undergraduate grade 12 student and my question is
what is the basic difference between local maxima minima & global maxima minima?
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 Blog Entries: 27 Recognitions: Gold Member Homework Help Science Advisor hi dev70! the top of k2 is a local maximum the top of mount everest is a global maximum
 mathematically, whats the difference?

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 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