If a function is differentiable at x = c, then it is continuous at x = c. However, a function being continuous does not guarantee that it is differentiable, as demonstrated with an absolute value …

Let's dive into examples of functions and their graphs, focusing on finding points where the function isn't differentiable. By examining various cases such as vertical tangents, …

We examine a piecewise function to determine its continuity and differentiability at an edge point. By analyzing left and right hand limits, we establish continuity.

Differentiability at a point confirms that a function must be continuous at that point. However, vice versa isn't true (You can have a continuous function with a sharp turn)

We explore the connection between differentiability and continuity, demonstrating that if a function is differentiable at a point, it must also be continuous at that point. By examining the properties …

If there is a cusp, hard corner, vertical asymptote, or any sort of discontinuity then the function is not differentiable.

Analyze algebraic functions to determine whether they are continuous and/or differentiable at a given point.

The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such …

Through analyzing left and right-hand limits, we find that the function is continuous at the point. However, due to differing slopes from the left and right, the function is not differentiable at the …

An older video where Sal finds the points on the graph of a function where the function isn't differentiable.