Proof dV/dx = minus w and dM/dx = V for shear force and bending moment diagrams Part 2

The video tutorial explains the derivation of the formula dm/dx = v(x) using calculus concepts. It begins with a recap of previous concepts and then proceeds to derive the formula by considering the sum of moments around a point in static equilibrium. The tutorial involves integration and simplification, applying the mean value theorem, and concludes with the final solution.

Discuss the importance of integrating the moment due to a small slice of the distributed load.

Explain how the mean value theorem is applied in this derivation.

What happens to the function g(c) as delta x approaches 0?

What is the final conclusion regarding the rate of change of the bending moment?