@sepdek's

This post serves as a cheat sheet for differentiation. It just includes the most basic of the rules to be remembered when computing derivatives. First a little reminder on the notation being used in differentiation. Leibniz’s notation for the first derivative of a function f(x) is [latex s=1 bg=eeeeee]\displaystyle \frac{\mathrm{d}f(x)}{\mathrm{d}x}[/latex] Newton’s notation for the first […]

Formally stated, the derivative of a function of the form $latex \displaystyle f = k \cdot u^a \cdot v^b \cdots &s=2$ with k a constant and with respect to an independent variable x, is simply, $latex \displaystyle \frac{\mathrm{d}f}{\mathrm{d}x} = f \cdot \left [ a \frac{\dot{u}}{u} + b \frac{\dot{v}}{v} + \cdots \right ] &s=2$ I find […]