The Chain Rule

When do we need the Chain Rule? We need the chain rule when our function $f(x)$ is actually a function nested inside of another function. For example $f(x) = sin (3x^2 +2)$ has an inner function $3x^2+2$ and an outer function $sin x$. In other words $f(x)$ is the...

Integration by parts

Integration by parts? What parts? Integration by parts comes from rewriting the product rule for derivatives and then integrating. So the “parts” are the fact that we’re going to work with two functions and treat them separately. Let’s remember...