by 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?