设函数 $f(x)$ 具有 2 阶导数, 且 $f(x)>0, f^{\prime \prime}(x) f(x)-\left[f^{\prime}(x)\right]^2>0$, 则
$\text{A.}$ $f^{\prime}(-1) f(1)>f^{\prime}(1) f(-1)$.
$\text{B.}$ $f^{\prime}(1) f(1) < f^{\prime}(-1) f(-1)$.
$\text{C.}$ $f^2(0)>f(-1) f(1)$.
$\text{D.}$ $f^2(0) < f(-1) f(1)$.