When Calculus Breaks Your Soul

First, our cheerful math student understands the well-behaved parabola. Next, she comprehends functions with occasional differentiability hiccups. But then... Weierstrass function has entered the chat.

That last panel shows the mathematical equivalent of Lovecraftian horror—a continuous function that's differentiable precisely nowhere. It's like nature decided "Let's create something that follows exactly one rule while breaking every intuition humans have about smoothness."

Every calculus professor has witnessed this exact facial expression when introducing pathological functions. The math gods created these monstrosities specifically to crush undergraduate spirits and keep mathematicians humble.