m'(x) represents the derivative of function m(x), which measures its rate of change at any given point. It describes how fast or slow m(x) is changing with respect to x.
The second derivative, denoted as f''(x), measures how fast or slow f'(x) is changing. It provides information about the concavity and inflection points of a function.
The chain rule is a technique used to find the derivative of composite functions. It allows us to compute the derivative of an outer function multiplied by the derivative of its inner function.