(a)[4]
Obtain a formula for $\frac{dy}{dx}$ and demonstrate that it may be written in the form $\sec^2 x\,(a + b\sin 2x)e^{-4x}$, where $a$ and $b$ are constants.
(b)[3]
Hence determine the exact $x$-coordinates of the two stationary points.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve $y = e^{-4x}\tan x$ has two stationary points for $0 \leq x < \tfrac{1}{2}\pi$.
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