Calculus and Function Notation

This set of vocabulary flashcards covers fundamental calculus notation and function properties extracted from the provided lecture notes.

$$f'(x)$$

The mathematical notation used to represent the derivative of a function with respect to $x$.

Input

The value, typically represented by $x$, that is substituted into a function.

Output

The resulting value, often denoted as $y$ or $f(x)$, produced by a function from a given input.

Graph

A visual representation of the relationship between inputs and outputs, showing how a function behaves across a range of values.

$$dx$$

A notation representing an infinitesimal change in the variable $x$, used in the context of differentiation and integration.