Math 22 Derivatives of Logarithmic Functions

Derivative of the Natural Logarithmic Function

 Let $u$ be a differentiable function of $x$.
 1.${\frac {d}{dx}}[\ln x]={\frac {1}{x}}$ for $x>0$
 
 2.${\frac {d}{dx}}[\ln u]={\frac {1}{u}}{\frac {du}{dx}}$ 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}

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