函数f(x)=(x²+2x+1)e^x的单调递减区间是

函数f(x)=(x²+2x+1)e^x的单调递减区间是
函数f(x)=(x²+2x+1)e^x的单调递减区间是

函数f(x)=(x²+2x+1)e^x的单调递减区间是
解
f(x)=(x²+2x+1)e^x
f'(x)=(2x+2)e^x+(x²+2x+1)e^x
=(x²+4x+3)e^x
∵e^x＞0
∴当x²+4x+3