Explore graphical connections between functions and derivatives in this Khan Academy video lesson.

Taking the derivative of f (x)=x³-12x+2 and graphing the derivative, so we can tell when f is increasing or decreasing, and where is its relative extremum points. Created by Sal Khan.

Discover how the derivative of a function reveals the slope of the tangent line at any point on the graph. We'll explore how to use this powerful tool to determine the equation of the tangent line, …

Discover how the derivative of a function reveals the slope of the tangent line at any point on the graph. We'll explore how to use this powerful tool to determine the equation of the tangent line, …

If you know that the first derivative of a function is the slope of the original function, the second derivative is the slope of the first derivative. For instance, the first derivative of a distance …

By strategically shifting graphs and applying trigonometric identities, we'll establish a strong visual argument, deepening our comprehension of these key calculus concepts.

Let's explore the power rule's validity by examining the derivatives of x¹ and x². We'll analyze the slopes of tangent lines for these functions and then see how the power rule provides …

You don't know what the graph looks like because you aren't given it. You do, however, know what the derivative graph looks like, and looking at that alone lets you know where the graph is …

Given the graph of a function, Sal sketches the graph of its derivative. Created by Sal Khan.

Explore how to interpret the derivative of a function at a specific point as the curve's slope or the tangent line's slope at that point. Dive into problem-solving examples that demonstrate this …