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[[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.


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:

leibniz.svg


Usage

Point elasticity can be differentiated with the chain rule:

elasticity1.svg

elasticity2.svg


CategoryRicottone

Calculus/ChainRule (last edited 2024-06-04 22:26:52 by DominicRicottone)