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 …

Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph

The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full …

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?

Oct 18, 2025 · 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.

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 …

The derivative of a function is the ratio of the difference of function value f (x) at points x+Δx and x with Δx, when Δx is infinitesimally small. The derivative is the function slope or slope of the tangent line at …

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.

Nov 14, 2025 · The derivative of a function is itself a function, so we can find the derivative of a derivative. For example, the derivative of a position function is the rate of change of position, or velocity.