Lecture 16 (Real Analysis 2020)

The Cauchy Mean Value Theorem concludes that there is a point x₀ in (a,b) at which:

1. A.f′(x₀)/g′(x₀) equals (f(b)−f(a))/(g(b)−g(a))
2. B.f′(x₀) equals (f(b)−f(a))/(b−a)
3. C.f(x₀)/g(x₀) equals (f(b)−f(a))/(g(b)−g(a))
4. D.f′(x₀)·g′(x₀) equals (f(b)−f(a))·(g(b)−g(a))