QuadEq

Calculus Level 2

Let f(x)=ax2+bx+cf(x) = a{ x }^{ 2 } + bx + c, and a,b,cϵa, b, c \epsilon \Re and a0a \neq 0.

Suppose f(x)>0f(x)>0 for all xϵx \epsilon \Re. Let g(x)=f(x)+f(x)+f(x)g(x) = f(x) + f'(x) + f''(x).

Then:

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