Question
Answer Key
Worked Solution
9758/2019/P1/Q07
A curve $C$ has equation $y=x \mathrm{e}^{-x}$.
(i) Find the equations of the tangents to $C$ at the points where $x=1$ and $x=-1$.
[6]
(ii) Find the acute angle between these tangents.
[2]
A curve $C$ has equation $y=x \mathrm{e}^{-x}$.
(i) Find the equations of the tangents to $C$ at the points where $x=1$ and $x=-1$.
[6]
(ii) Find the acute angle between these tangents.
[2]