Question

$e^{-x} * (x+1)^{2}$ AFLATI DERIVATA FUNCTIEI

Answer 1

$\left[e^{-x}\cdot (x+1)^2\right]^{\prime}=(e^{-x})^{\prime}\cdot (x+1)^2+e^{-x}\cdot\left[(x+1)^2\right]^{\prime}=\\\\=-e^{-x}\cdot (x+1)^2+e^{-x}\cdot 2(x+1)=e^{-x}\cdot(2x+2-x^2-2x-1)=\\\\=e^{-x}\cdot(1-x^2).$

Green eyes.