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Linearisation for a Function with 2 vairables

posted Nov 5, 2014, 9:14 PM by Javad Taghia   [ updated Nov 5, 2014, 9:15 PM ]
For a variable:

Linearisation of f(x) at x = a is L(x) = f(a) + f'(a) (x - a)


Linear Approximations
Let f be a function of two variables x and y de-
fined in a neighbourhood of (a, b). The linear function
L(x, y) = f(a, b) + fx(a, b)(x − a) + fy(a, b)(y − b)
is called the linearisation of f at (a, b) and the
approximation
f(x, y) ≈ f(a, b) + fx(a, b)(x − a) + fy(a, b)(y − b)
is called the linear approximation of f at (a, b).



Ċ
Javad Taghia,
Nov 5, 2014, 9:14 PM
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