theorem perCapitaSurplusDeriv_pos {J ρ : ℝ} (hJ1 : 1 < J) (hJ2 : J < 2) (hρ : ρ < 1) :
0 < perCapitaSurplusDeriv J ρ := by
simp only [perCapitaSurplusDeriv]
apply div_pos
· exact mul_pos (by linarith) (by linarith)
· exact pow_pos (by linarith) 3Paper 1c: Formal Calculus on K(J) and V(J)