Like the featured image above? Good for you! As students (fanatics?) of mathematics and other technical sciences, we have an intuitive appreciation of the role this topic — calculus — plays out in our daily life. While obviously not a subject to be mastered overnight, what’s true is that our first exposure to it tends to be almost universally restricted to the topic of derivatives of elementary functions.
Interestingly enough, when it comes to the calculation of derivatives, there is a rule of thumb out there that goes something like this: either the function is basic, in which case we can appeal to the table of derivatives, or the function is composite, in which case we can differentiated it recursively — by breaking it down into the derivatives of its constituents via a series of derivative rules. More