- #1

Pacopag

- 197

- 4

## Homework Statement

Suppose you have a function [tex]f(x)[/tex].

You take the derivative with respect to x and evaluate it at some point [tex]x_0[/tex].

i.e. [tex]{{df(x_{0})}\over{dx}}[/tex] (e.g. first coeff in taylor series)

Is this the same as changing the argument of f to x_0, i.e. writing [tex]f(x_0)[/tex],

then just taking the derivative with respect to x_0?

In fewer words, can I write

[tex]{{df(x_{0})}\over{dx}}={{df(x_{0})}\over{dx_0}}[/tex].

## Homework Equations

## The Attempt at a Solution

If I just consider a bunch of examples, it always seems to be true. It seems like a trivial fact, but I would just like someone to confirm this for me.

Thanks.