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Why do you specify a point?

is that range?

yep!! extrema values fall in the range so it is specified.

can't solve the cubic is all?

find criticle points
check criticle points and boundary points

i know that but i couldn't solve the equation

D[x^4-8x^2+4x+2 ]-->= 4x^3 -16x+4=0

http://www.wolframalpha.com/input/?i=4x%5E3%20-16x%2B4%3D0&t=crmtb01

and how to solve that eqn to get value of x

x^3-4x+1=0...then..
main problem is , to solve for x...