Question

What are the pre-requirements for learning "Mean Value Theorem"?

Answer 1

you need to know what a derivative is, and how to find the average slope between two points. This also depends whether you are referring to the mean value theorem for differentiation or integration. For differentiation, that is all you need. For integration, you need to know how to do definite integrals and a basic knowledge of geometry.

Answer 2

The Mean Value Theorem roughly says that if a function is continuous from `a` to `b`, then the secant line passing through those two points has the same slope as a tangent somewhere inside the interval.

So need to be able to do 2 things:
Calculate the slope of a secant line, `a line passing through two points`. (Requires some Algebra).
Calculate the slope of a tangent line, `a line passing through a point and tangent to the surface of a line`. (Requires some Calculus).