Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | Next revision Both sides next revision | ||
differentiable_function [2016/01/23 19:05] nikolaj |
differentiable_function [2016/01/23 19:06] nikolaj |
||
---|---|---|---|
Line 10: | Line 10: | ||
Let $f(0)=0$, then | Let $f(0)=0$, then | ||
- | $f(y\ f^{-1}(x))\ y^{-1}=x+(y-1)\cdot\dfrac{f''(0)}{f'(0)^2}\cdot\dfrac{1}{2}x^2+{\mathcal O}(x^3)$ | + | $\dfrac{ f(y\ f^{-1}(x)) }{y} =x+(y-1)\cdot\dfrac{f''(0)}{f'(0)^2}\cdot\dfrac{1}{2}x^2+{\mathcal O}(x^3)$ |
=== Reference === | === Reference === |