Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision Next revision | Previous revision Last revision Both sides next revision | ||
gx_fx [2016/01/25 13:35] nikolaj |
gx_fx [2016/01/25 13:49] 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 == | ||
Line 16: | Line 16: | ||
=== Reference === | === Reference === | ||
----- | ----- | ||
- | === Subset of === | + | === Element of === |
[[Function]] | [[Function]] |