Equations · equation
Chain Rule
Calculus · 1676
- Equation
- d/dx f(g(x)) = f′(g(x)) · g′(x)
- Field
- Calculus
- Symbols
- f, g two functions, one applied to the other · f′, g′ their derivatives
- Year
- 1676
Significance
Rates multiply through a chain of dependence: if pressure depends on depth and depth on time, the rate of pressure change is the product of the two rates. It is what turns dv/dt into v dv/dx (the origin of ½mv²), lets the heat equation be solved by substitution, and makes every physical derivative computable rather than merely defined.
Open on the Equations shelf — the interactive card, the filters, and everything alongside it.