. Equations began to stretch across the desk. He had to differentiate a fraction so bloated with square roots and natural logs that his hand cramped. "Keep your constants separate," he muttered, "don't let the chain rule break your spirit."
The "Extreme" portion of the tutorial began. Elias faced the Nested Chain Rule —functions inside functions inside functions. It was like a mathematical Russian nesting doll. He differentiated 100 calculus derivatives (extreme calculus tutorial)
, peeling back the layers one by one, careful not to lose a single negative sign. One slip, and the entire derivation would collapse into nonsense. " he muttered
. He felt invincible. He hummed through the trigonometric basics, watching flip effortlessly into . This was a sprint, a warm-up for the mind. a warm-up for the mind.