textbook-theory · English
Differentiability
A four-page lecture note introducing the concept of differentiability for real-valued functions. The text develops the difference quotient and its limit as the formal definition of the derivative, works through examples for constant, linear, and exponential functions, and explains points of non-differentiability including corners and domain endpoints on closed intervals. The relationship between differentiability and locating maxima and minima — requiring inspection of both critical points and non-differentiable points — is discussed with worked examples.
differentiabilitydifference quotientcalculusmaxima and minima