Question

find the greatest and least values of the function
f(x)=2x^2+2/x^2 for -2<=x<0,0 14 years ago

Answer 1

equate differential to zero. and find x's for that. at those values maxima or minima exists. now, find double derivative at that x. negative double derivative means its a maxima, and a positive double derivative means its a minima

Answer 2

thx

Answer 3

http://www.wolframalpha.com/input/?i=f%28x%29%3D2x%5E2%2B2%2Fx%5E2++for+-2%3C%3D+x+%3C%3D2

Greatest seems infinity, critical points should give minimum

Answer 4

seems that x=0 is asymptote.

Answer 5

thx todays qns ovr :)