已知函数 f(x)=6−x3,g(x)=ex−1 ，则这两个函数的导函数分别为 (   )

A：$f^{\prime }\left(x\right)=6-3x^2,g^{\prime }\left(x\right)=e^x$

B：$f^{\prime }\left(x\right)=-3x^2,g^{\prime }\left(x\right)=e^x-1$

C：$f^{\prime }\left(x\right)=-3x^2,g^{\prime }\left(x\right)=e^x$

D：$f^{\prime }\left(x\right)=6-3x^2,g^{\prime }\left(x\right)=e^x-1$