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 …

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 …

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.

Let's get hands-on with the concept of derivatives! We'll learn how to interpret the meaning of a derivative within a real-world context, turning complex calculus into practical applications. We'll …

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 …

Derivative rules: constant, sum, difference, and constant multiple Combining the power rule with other derivative rules Derivatives of cos (x), sin (x), 𝑒ˣ, and ln (x) Product rule Quotient rule …

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.

The chain rule states that the derivative of f (g (x)) is f' (g (x))⋅g' (x). In other words, it helps us differentiate *composite functions*. For example, sin (x²) is a composite function because it …

Derivatives describe the rate of change of quantities. This becomes very useful when solving various problems that are related to rates of change in applied, real-world, situations. Also …

Would you like to be able to determine precisely how fast Usain Bolt is accelerating exactly 2 seconds after the starting gun? Differential calculus deals with the study of the rates at which …