Difference between revisions of "Math 22 Derivatives of Logarithmic Functions"
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| + | ==Derivative of the Natural Logarithmic Function== | ||
| + | Let <math>u</math> be a differentiable function of <math>x</math>. | ||
| + | 1.<math>\frac{d}{dx}[\ln x]=\frac{1}{x}</math> for <math>x>0</math> | ||
| + | |||
| + | 2.<math>\frac{d}{dx}[\ln u]=\frac{1}{u}\frac{du}{dx}</math> for <math>u>0</math> | ||
[[Math_22| '''Return to Topics Page''']] | [[Math_22| '''Return to Topics Page''']] | ||
'''This page were made by [[Contributors|Tri Phan]]''' | '''This page were made by [[Contributors|Tri Phan]]''' | ||
Revision as of 08:57, 11 August 2020
Derivative of the Natural Logarithmic Function
Let be a differentiable function of . 1. for 2. for
![{\displaystyle {\frac {d}{dx}}[\ln x]={\frac {1}{x}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/83b4fed234ef5eff01172d12b4575720dd4bcfc9)
![{\displaystyle {\frac {d}{dx}}[\ln u]={\frac {1}{u}}{\frac {du}{dx}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8342a2a0f1fae7156a8bc9ab1fd315c2fef11bcd)
This page were made by Tri Phan