Mathematically, it is defined as: This expression is called first principle of derivatives and it tells us about the change in a function's output when input is changed by a very small amount. Geometrically, …

Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation).

There are multiple different notations for differentiation. Leibniz notation, named after Gottfried Wilhelm Leibniz, is represented as the ratio of two differentials, whereas prime notation is written by adding a …

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 is: Use f …

See how we define the derivative using limits, and learn to find derivatives quickly with the very useful power, product, and quotient rules.

We use the differentiation formulas to find the maximum or minimum values of a function, the velocity and acceleration of moving objects, and the tangent of a curve.

Dec 4, 2025 · Differentiation, in mathematics, process of finding the derivative, or rate of change, of a function. Differentiation can be carried out by purely algebraic manipulations, using three basic …

Dec 7, 2025 · This page covers the derivative as a function, detailing its definition via the difference quotient and various notations. It explains how to calculate derivatives of basic functions, identify …

Isaac Newton 's notation for differentiation (also called the dot notation, fluxions, or sometimes, crudely, the flyspeck notation[12] for differentiation) places a dot over the dependent variable. That is, if y is a …

The meaning of DIFFERENTIATION is the act or process of differentiating. How to use differentiation in a sentence.