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 …

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?

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 …

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.

Apr 4, 2022 · The Definition of the Derivative – In this section we define the derivative, give various notations for the derivative and work a few problems illustrating how to use the definition of the …

Differentiation techniques are the methods and rules used to find the derivative of a function. These techniques simplify the process of finding derivatives, especially for complex functions.

Jul 23, 2025 · Derivative formulas in calculus provide essential tools for finding the rates of change of various functions. These formulas include the power rule, product rule, quotient rule, and chain rule, …

Explore the fundamentals of derivatives, including types, basic rules, 2nd derivative, implicit differentiation, and derivatives of trigonometric and inverse functions.

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.