Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

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

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