Total differential MCJean: Equilateral triangle is extending evenly, length of the side is growing with v = 2 cm/h. How fast is area of the triangle increasing if initial length of side equals 8 cm?

Trivial:

dS		d		1		√3a	da		√3av
	=		(		√3a2) =			=
dt		dt		4		2	dt		2

a(t) = a₀ + vt

dS		√3(a0 + vt)v		√3a0v		√3v2
	=		=		+		t
dt		2		2		2