Cards In This Deck

• $\text{What is the procedure to find the x-coordinate of a stationary point for the curve }y=x{e}^{-2x}\text{?}$
  $$\begin{gathered} \text{1. Use the Product Rule to find }\frac{dy}{dx}\text{.} \\ \text{2. Set }\frac{dy}{dx}=0\text{.} \\ \text{3. Factorise out the exponential term (e.g., }{e}^{-2x}\text{).} \\ \text{4. Since }{e}^{-2x}\ne 0\text{, solve the remaining linear/algebraic part.} \end{gathered}$$