Question

Find the linearization of f(x ) =1/(2+x)^1/2at x = 0 .

Answer 1

To find the linearization of a given function, you have to go through the following steps:

1) Find f'(x) and let xo = 0
2) Find f(xo)
3) Find f'(xo)

After that, substitute the following results you got up there in the general linearization equation:

\[L \approx f(xo) (x-xo) + f'(xo)\] it's either f'(xo) multiplied by the polynomial or the vice versa, lol I don't remember, but something like that ^_^