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• 18:34, 4 April 2022 0kelvin talk contribs created page Derivative of logarithm and exponential (Created page with "<div style="text-align:center;"> <math>f(x) = \ln(x) \iff f'(x) = \frac{1}{x}</math> </div> I'm going to explain some property that is pretty simple and yet often overlooked. Let's write down a short sequence of logarithms in base 2: <math>\log_2{1} = 0</math><br /> <math>\log_2{2} = 1</math><br /> <math>\log_2{4} = 2</math><br /> <math>\log_2{8} = 3</math><br /> <math>\log_2{16} = 4</math><br /> Now the derivative can be defined in terms of a '''tangent''', a ratio '...")