Differentiate y=(x^2+1)(e^-x)

Here, we're using the product rule (and the chain rule for the e^-x): y=(x²+1)(e^-x) dy/dx=(2x)(e^-x)+(x²+1)(-1)(e^-x) Then we simplify to get: dy/dx=(e^-x)(2x-x²-1)