← Calculus Studio Next chapter: Reading the shape →
Chapter 4
Rules from pictures
A growing square, a growing rectangle, two gears: the rules of differentiation, seen first.
1
A square that grows
A square of side x = 3 grows by a little dx. It gains two strips and a small white corner. Shrink dx.
Drag the slider right: dx gets smaller, and the corner shrinks much faster than the strips.