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 …

This video introduces key concepts, including the difference between average and instantaneous rates of change, and how derivatives are central to differential calculus. Master various notations used to …

The derivative of a function describes the function's instantaneous rate of change at a certain point - it gives us the slope of the line tangent to the function's graph at that point.

The big idea of differential calculus is the concept of the derivative, which essentially gives us the direction, or rate of change, of a function at any of its points. Learn all about derivatives and how to …

A "derivative" is the actual result you get when you find the rate of change of a function at a specific point, while "differentiation" is the process of calculating that rate of change.

Let's explore how to find the derivative of any polynomial using the power rule and additional properties. The derivative of a constant is always 0, and we can pull out a scalar constant when taking the …

Discover how to define the derivative of a function at a specific point using the limit of the slope of the secant line. We'll explore the concept of finding the slope as the difference in function values …

Unit 2: Derivatives: definition and basic rules 2,500 possible mastery points Mastered Proficient

The derivative f' (x) outputs the instantaneous rate of change of f at x. This can also be written as df/dx. This is how a derivative is defined. When you divide two things with units, the units also get divided. …

It tells us the rate of change of the rate of change. For example, acceleration is the second derivative of a position function, like velocity is the first derivative.