# Derivatives

### Best of the Web

### Websites

**Differentiation: Taking the Derivative**

This link gives a quick review of most of the important concepts in the derivatives chapter. Sort of like “Derivatives in a Nutshell,” but much cooler. (Less cool than Shmoop, though. Less cool than Shmoop.)

**Non-Differentiable Functions**

Sometimes, the easiest way to understand an idea is to understand what it isn't. For example, a purple elephant is not a rhinoceros. Bam. Understood. Check out this list of functions that are non-differentiable for different reasons.

**Rolle’s Theorem and the Mean Value Theorem**

This is an explanation of Rolle’s Theorem, the Mean Value Theorem, and how they are related. (Rolle's Theorem used to be married to the Mean Value Theorem's half-aunt's brother-in-law, but that was a long time ago.) You’ll feel like an expert in no time.

### Videos

**Definition of the Derivative**

This YouTube video gives you a simple, brief explanation of the derivative of a function. You can learn what a derivative is in the time it takes you to pop a bag of popcorn, unless you're like us and ruin three of them before you figure out the "popcorn" button on your microwave.

**I Will Derive!**

“At first I was afraid…I was petrified.” If you’re feeling a little scared from this whole derivative thing, take a break to laugh along with this video.

**The Calculus Controversy**

You thought fighting with your sister over the extra roll at the dinner table was bad enough; Newton and Leibniz fought over the invention of calculus. Here’s a video that clarifies this controversy.

**Tangent Line Approximations**

This is a good video that explains tangent line approximations at a point. Pay close attention, since this idea is used over and over and over again. It’s the broken record of applied calculus.

### Games and Tools

**Derivative Calculator (Differentiator)**

Now that we’ve spent an entire chapter showing you how to find derivatives the hard way, here’s a simple calculator to check your work. Just don’t tell your teacher we showed you this link.

**First Derivatives of a Function:**

This link shows you how a difference quotient becomes a derivative. It comes complete with an interactive applet you can play with to occupy yourself for hours. Hours, we say!

**The Mean Value Theorem:**

This link explains and helps you visualize the mean value theorem. With this, the theorem will look less like an angry tiger and more like a cute kitten. Or, you know, a cat that barks like a dog.