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 process of finding a …

The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises.

It is all about slope! Slope = Change in Y / Change in X. We can find an average slope between two points. But how do we find the slope at a point?

4 days ago · 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 …

Feb 13, 2026 · Derivative, in mathematics, the rate of change of a function with respect to a variable. Geometrically, the derivative of a function can be interpreted as the slope of the graph of the function …

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.

For a function to have a derivative at a given point, it must be continuous at that point. A function that is discontinuous at a point has no slope at that point, and therefore no derivative.

The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line tangent to 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 of the tangent …

Feb 21, 2026 · Discover what is the derivative of a function with simple explanations, step-by-step rules, and real-world examples you can relate to.