下图是求导过程
解,f(x)=(x-2)e^x+α(x-1)^2f′(x)=(x-2)′e^x+(x-2)(e^x)′+2a(x-1)(ⅹ-1)′ =e^ⅹ+(ⅹ-2)e^x+2aⅹ-2a =(ⅹ-1)e^ⅹ+2αⅹ-2α