The curve with equation $$$y=x \mathrm{e}^{1-2 x}$$$ has one stationary point. Find the coordinates of this point. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w21_qp_31 Year：2021 Question No：3(a)

Answer:

Use correct product rule
Obtain correct derivative in any form
Equate derivative to zero and solve for $x$
Obtain $x=\frac{1}{2}$ and $y=\frac{1}{2}$

3.4.1 use the derivatives of together with constant multiples, sums, differences and composites (Derivatives of are not required.)