For the curve given by $y = e^{-ax} \tan x$, where $a$ is a positive constant, there is just one point in the interval $0 < x < \frac{1}{2}\pi$ where the tangent line is parallel to the $x$-axis.
(main)[7]
Determine the value of $a$ and state the exact $x$-coordinate of this point.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the product rule” …