Derivative Notation f′(x) - Understanding Function Differentiation #3836101 (License: Personal Use)

This image displays the classical prime notation for the first derivative of a function f with respect to the variable x. Widely used in calculus, physics, and engineering, f′(x) denotes the instantaneous rate of change of f at x. It is especially common in introductory and applied mathematics contexts where clarity and simplicity are prioritized over more formal notations like Leibniz’s dy/dx.

Used on educational websites, math tutorials, textbooks, and lecture slides to illustrate differentiation concepts; matches user intent for learning or reviewing calculus fundamentals.