⇤ ← Revision 1 as of 2024-06-04 21:01:30
Size: 517
Comment: Initial commit
|
Size: 691
Comment: Example
|
Deletions are marked like this. | Additions are marked like this. |
Line 27: | Line 27: |
[[Economics/DemandCurve#Point_Elasticity|Point elasticity]] can be differentiated with the chain rule: {{attachment:elasticity1.svg}} {{attachment:elasticity2.svg}} |
Chain Rule
The chain rule is an approach for differentiating a composition of functions in terms of those functions.
Contents
Notation
The common notation for the chain rule is, given a function h(x) = f(g(x)), the derivative h'(x) = f'(g(x)) g'(x).
An equivalent notations is that h = f ∘ g and h' = (f ∘ g)' = (f' ∘ g)g' .
A parallel notation is:
Usage
Point elasticity can be differentiated with the chain rule: