Morse Theory
Differentiability is a mathematical property that indicates a function can be differentiated at a given point, meaning it has a defined derivative there. This property is crucial because it helps analyze how functions behave locally, including their slopes and curvature. Functions that are differentiable are also continuous, and understanding this relationship is key when working with smooth functions and Morse functions, as differentiability impacts critical points and the overall structure of these functions.
congrats on reading the definition of Differentiability. now let's actually learn it.