1. The problem statement, all variables and given/known data I am trying to see the geometric interpretation of the generalized MVT. It is not a homework problem, but would like to know how to interpret the equation 2. Relevant equations [f(b)- f(a)]* g'(x) = [g(b)- g(a)]* f'(x) 3. The attempt at a solution On substituting g(x) = x, we obtain the MVT which is nicely interpreted as a point in (a,b) where the tangent is parallel to the secant between the end points for a continuous differential function. But, is there a nice interpretation for the generalized version?