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 …

Derivative rules: constant, sum, difference, and constant multiple Learn Basic derivative rules

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.

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.

- [Instructor] What we're going to go over in this video is one of the core principles in calculus, and you're going to use it any time you take the derivative, anything even reasonably complex.

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 …

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 …

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 …

Let's consider, for example, the function f (x) = x 3 + 2 x 2 . Its first derivative is f ′ (x) = 3 x 2 + 4 x . To find its second derivative, f ″ , we need to differentiate f ′ . When we do this, we find that f ″ …