5.
函数\(f\)\((\)\(x\)\()=\)\(\sin x\)\(+\)\(e\)\({\,\!}^{3}\)的导函数\(f\)\(′(\)\(x\)\()= \)______.
从三个男同学和两个女同学中选出两人参加比赛,则选出的两人刚好是一男一女的事件概率为______
如图所示,在棱长为\(1\)的正方体\(ABCD-A_{1}B_{1}C_{1}D_{1}\)中,\(P\)是\(A_{1}B\)上一动点,则\(AP+D_{1}P\)的最小值为___________________
椭圆\( \dfrac{{x}^{2}}{25}+ \dfrac{{y}^{2}}{16}=1 \)的左焦点为\(F_{1}\),对定点\(M(6,4)\),若\(P\)为椭圆上一点,则\(|PF_{1}|+|PM|\)的最大值为______