In either case, you were going faster than the speed limit at some point in time. When you arrive, however, a policeman signals you to pull over! James Bell James Bell 1 1. To be differentiable at a certain point, the function must first of all be defined there! Post as a guest Name. Before We Go On...

## Differentiability

A function f is differentiable at a point c if. Home Questions Tags Users Unanswered. Determine the interval s on which the following functions are continuous and the interval s on which they are differentiable.

Hot Network Questions. In this form, it makes far more sense why g' 0 is undefined. Differentiable means that the derivative exists...

Really, the only relevant piece of information is the behavior of function's slope close to c. When I approach a town, though, I will slow down so that the police are none the wiser.

## Differentiable

Start with: Derivative rules tell us the derivative of x 2 is 2x and the derivative of x is 1, so: Example 1 Functions Not Differentiable at Isolated Points Determine points of non-differentiability of the following functions.

Triple route how to explain 0.

Differentiability Note To understand this topic, you will need to be familiar with limits, as discussed in the chapter on derivatives in Calculus Applied to the Real World. Nikhil Nikhil 2,637 1 6 21. Which IS differentiable. Mathematics Stack Exchange works best with JavaScript enabled. As we see in the graph on the right, there are no points of vertical tangency or cusps.

How did the policeman know you had been speeding?