The first part of this lesson should bring back many fond memories of start of school. You remember, when I duped you into thinking the graph of y=sin(x) was just y=x? Good times. Duration: 6:45

As you can probably attest, evaluating square roots by hand without the aid of an abacus or a Babylonian Algorithm is tough. In this example, we'll use a local linearity to turn a square root function into a line, because those are way easier to evaluate. Duration: 8:05

But wait, there's more. Now let's use our recently mastered concept of concavity to determine if our approximation was an over- or under-estimate of the original square root function. Duration: 10:07

As the previous example demonstrated, the accuracy of a local linear approximation of a function depends three things, which I will not spoil for you here. Well, unless the thumbnail below counts as a spoiler. Anyway, after that recap, we will attempt to the linearization of an exponential function with Example 3. Duration: 10:47

The 2017 AP Calculus Exam brings to mind five or six key words, which I will not utter here for fear of copyright infringement. Just kidding, it's the internal temperature of a potato. Calculus, it's not just for highway patrolmen with obnoxious accents. No, cooks and potato peelers need it, too. Duration: 14:47