Linearization

Linearization

Postby zod0123 » Thu Jun 10, 2021 1:23 am

Hi All

I have Linear programming problem where I need to linearise the following function: Y = A * log2(1 + (Bx/Cx^2)). where A, B and C are constants.

Can you please help or advise?
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Re: Linearization

Postby Guest » Sat Jun 19, 2021 9:10 am

You can't just "linearize" a non-linear function!

You can "linearize" it over a small interval or close to a given point.

So where do you want to linearize this function?

In order to linearize f(x) around x= a, you evaluate the derivative, f'(x), at x= a. That, f'(a), is the slope of the tangent line to the graph of y= f(x) close to f(a) so the tangent line itself, the "linearization" of f(x) in the neighborhood of x= a, is y= f'(a)(x- a)+ f(a).

Now what is the derivative of Y with respect to x and where do you want to evaluate it?
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