Mathematics - Quadratic Equation Question with Solution | TestHub

Let $f(x)=e^{-x}{x}^k,f^{\prime }(x)=e^{-x}{x}^{k-1}(k-x)$ For $\mathrm{k}=2,{\mathrm{f}}^{\prime }(\mathrm{x})$ :

So, one solution. For $\mathrm{k}=3,{\mathrm{f}}^{\prime }(\mathrm{x})$: \texttt{https://cdn.mathpix.com/cropped/72cc4ef9-1fa9-4819-8bf7-8fe8b1bece05-09.jpg?height=79&width=278&top_left_y=517&top_left_x=666}

So, two solutions.