Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision | Next revision Both sides next revision | ||
|
gx_fx [2016/01/25 13:35] nikolaj |
gx_fx [2016/01/25 13:36] nikolaj |
||
|---|---|---|---|
| Line 6: | Line 6: | ||
| ----- | ----- | ||
| === Theorem === | === Theorem === | ||
| - | $\dfrac{{\mathrm d}}{{\mathrm d}x} g(x)^{f(x)} = \left(f(x)\,g'(x) + f'(x)\,g(x)\cdot \log\,g(x)\right)\cdot g(x)^{f(x)-1} $ | + | $\dfrac{{\mathrm d}}{{\mathrm d}x} g(x)^{f(x)} = \left[f(x)\,g'(x) + f'(x)\,g(x)\cdot \log\left(g(x)\right)\right]\cdot g(x)^{f(x)-1} $ |
| == Special cases == | == Special cases == | ||
