/sci/ - Science & Math

>>11354487
Theorem One: Let [math]S = \Pi x_i[/math]. Then [math]\log S = \log \Pi x_i = \Sigma \log x_ i[/math].
Proof: basic properties of the logarithm.
Theorem two: [math]D \log [f(x)] = \frac{f'(x)}{f(x)}[/math].
Proof: basic application of the chain rule.
>>11354569
The second one is read as [math]-(x^2)[/math] because of PEMDAS.