设在 $[0,1]$ 上 $f^{\prime \prime}(x)>0$, 则 $f^{\prime}(0), f^{\prime}(1), f(1)-f(0)$ 或 $f(0)-f(1)$ 的大小顺序是
$\text{A.}$ $f^{\prime}(1)>f^{\prime}(0)>f(1)-f(0)$.
$\text{B.}$ $f^{\prime}(1)>f(1)-f(0)>f^{\prime}(0)$.
$\text{C.}$ $f(1)-f(0)>f^{\prime}(1)>f^{\prime}(0)$.
$\text{D.}$ $f^{\prime}(1)>f(0)-f(1)>f^{\prime}(0)$.