15.(2023春•曹县校级月考)若函数f(x)=axex−(x+1)2(a∈R)f(x)=axe^{x}-(x+1)^{2}(a\in R)f(x)=axex−(x+1)2(a∈R).(1)当a=−1a=-1a=−1时,求f(x)f(x)f(x)的极值;(2)若f(x)⩽0f(x)\leqslant 0f(x)⩽0在x∈[−1x\in [-1x∈[−1,1]1]1]恒成立,求aaa的取值范围.