Question 4 - A-Level Maths

Exam Board	OCR MEI
Module	C3 (Core Mathematics 3)
Topic	Differentiation Applications
Type	Find stationary points

Show that \(y = a x e ^ { - x }\) for \(a > 0\) has only one stationary point for all values of \(x\). Determine whether this stationary value is a maximum or minimum point.
Sketch the curve.