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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x}
.
1.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{d}{dx}[\ln x]=\frac{1}{x}}
for Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x>0}
2.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{d}{dx}[\ln u]=\frac{1}{u}\frac{du}{dx}}
for Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle u>0}
This page were made by Tri Phan