To find the derivative of a function y = f (x) we use the slope formula: And (from the diagram) we see that: Now follow these steps: Like this: Example: the function f (x) = x2. The slope formula …

The derivative is often described as the instantaneous rate of change, the ratio of the instantaneous change in the dependent variable to that of the independent variable. [1] The …

Dec 5, 2025 · There are several different kinds of derivatives, including futures, forwards, swaps, and options. A derivative is a kind of financial contract between two or more parties, the value …

A derivative in calculus is the instantaneous rate of change of a function with respect to another variable. Differentiation is the process of finding the derivative of a function.

A derivative represents the rate at which something changes—think of it as measuring how fast a quantity is changing at any given moment. In this comprehensive guide, we'll explain what …

3 days ago · derivative, in mathematics, the rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.

Dec 7, 2025 · This page defines the derivative of a function, focusing on tangent and secant lines. It explains that the slope of a secant line is calculated using the difference quotient, while the …

Just like a slope tells us the direction a line is going, a derivative value tells us the direction a curve is going at a particular spot. At each point on the graph, the derivative value is the slope …

Mar 18, 2025 · In calculus, derivatives represent the cornerstone of understanding how quantities change. At its essence, a derivative measures the instantaneous rate of change of a function …

The derivative of a function is the rate of change of the function's output relative to its input value. Given y = f (x), the derivative of f (x), denoted f' (x) (or df (x)/dx), is defined by the following …