题目

设 $f\left( {-x}\right) = - f\left( x\right)$ ,且在 $\left( {0, + \infty }\right)$ 内, ${f}^{\prime }\left( x\right) > 0,{f}^{\prime \prime }\left( x\right) > 0$ ,则 $f\left( x\right)$ 在 $\left( {-\infty ,0}\right)$ 内必有$\underline{\qquad}$.
A. ${f}^{\prime }\left( x\right) < 0,{f}^{\prime \prime }\left( x\right) < 0$
B. ${f}^{\prime }\left( x\right) < 0,{f}^{\prime \prime }\left( x\right) > 0$
C. ${f}^{\prime }\left( x\right) > 0,{f}^{\prime \prime }\left( x\right) < 0$
D. ${f}^{\prime }\left( x\right) > 0,{f}^{\prime \prime }\left( x\right) > 0$