Oops. Something went wrong. Please try again. Uh oh, it looks like we ran into an error. You need to refresh. If this problem persists, tell us.

The first derivative tells us where a function increases or decreases or has a maximum or minimum value; the second derivative tells us where a function is concave up or down and …

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.

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 …

If you think back to Calculus 1 (or single-variable calculus), recall the the derivative of a function is equal to its slope at any point. If you don't understand that concept, it might be good to look …

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.

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 …

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 twice differentiable function f and its second derivative f ″ are graphed. What is an appropriate calculus-based justification for the fact that f has an inflection point at x = c ?

The derivative of x squared, with respect to x, is 2x. Derivative of a constant, with respect to x, a constant does not change with respect to x, so it's just equal to 0.