- #1
ritwik06
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Homework Statement
[tex]f(x)=x^{12}-x^{9}+x^{4}-x+1[/tex]
Find th minimum possible value of the function, and show that its an always increasing function.
Actually I want to prove that f(x)>0 for all x.
The Attempt at a Solution
Its difficult for me to factorize this.
[tex]dy/dx=12 x^{11} - 9 x^{8} + 4 x^{3} -1 [/tex]
How shall I find the required information from the derivative. Is there any other way?