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 …

Derivative definition Learn Formal definition of the derivative as a limit (Opens a modal)

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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 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. …

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.

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 …

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 …

We dive into the fascinating realm of second derivatives, starting with the function y=6/x². Together, we apply the power rule to find the first derivative, then repeat the process to reveal the second derivative.