Cho f(x) = 2x^3+x^2+ căn 3; g(x)=x^3+x^2/2- căn 3

* Hướng dẫn giải

Chọn C

Ta có

$\begin{array}{l}f\text{'}\left(x\right)={\left(2x^3-x^2+\sqrt{3}\right)}^{/}\\ =6x^2-2x,g\text{'}\left(x\right)\\ ={\left(x^3+\frac{x^2}{2}-\sqrt{3}\right)}^{/}\\ =3x^2+x\end{array}$

$\begin{array}{l}f\text{'}\left(x\right)>g\text{'}\left(x\right)\\ \iff 6x^2-2x>3x^2+x\\ \iff 3x^2-3x>0\\ \iff x\in \left(-\infty ;0\right)\cup \left(1;+\infty \right)\end{array}$