faculty.mu.edu.sa

Dr. Ahmed G. Abo-Khalil

Electrical Engineering Department

Chain rule

In calculus, the chain rule is a formula for computing the derivative of the composition of two or more functions. That is, if $f$ and $g$ are functions, then the chain rule expresses the derivative of their composition $f \circ g$ (the function which maps $x$ to $f (g (x))$ ) in terms of the derivatives of $f$ and $g$ and the product of functions · as follows:

(fcirc g)'=(f'circ g)cdot g'.

The chain rule can also be written with a different notation for function composition (though still in Lagrange's notation for differentiation). The meaning is identical.

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