In the previous section we optimized (i.e. found the absolute extrema) a function on a region…

Where is a function at a high or low point? Calculus can help! A maximum…

Examples on Chain Rule Example 10.8 Find F′(x) if F (x) = √[x2 +1] Solution Take u = g(x) = x2 + 1 and f (u)…

Let  be a homogeneous function of order  so that (1) Then define  and . Then (2)(3)(4) Let , then (5) This can…

To be Homogeneous a function must pass this test: f(zx,zy) = znf(x,y) In other words Homogeneous is when…

Fred has mastered differentiating when a function has only one variable. Somehow, he missed the…

Now that we have the brief discussion on limits out of the way we can…

The concept of the Limits and Continuity is one of the most crucial things to understand…

In this section, we examine a powerful tool for evaluating limits. This tool, known as L’Hôpital’s…