User Tools
Sidebar
math
This is an old revision of the document!
Table of Contents
Transform Tables
Useful Equations
| Eulers Formula | $$e^{jx}=\cos(x)+j\sin(x)$$ |
|---|---|
| Angular Frequency | $$\omega = 2\pi f$$ |
| Period | $$T = \frac{1}{f}$$ |
Common Integrals
| $$\int\,u\,dv = uv-\int\,v\,du$$ |
| $$\int\,\frac{1}{ax+b}\,dx = \frac{1}{a}ln(ax+b)$$ |
| $$\int\,\sin(x)\,dx = -\cos(x)$$ |
| $$\int\,\cos(x)\,dx = \sin(x)$$ |
| $$\int\,e^{ax}\,dx = \frac{1}{a}e^{ax}$$ |
| $$\int\,xe^x\,dx = (x-1)e^x$$ |
Common Derivatives
| $$\frac{d}{dx}(f(x)g(x)) = f(x)\dot{g}(x) + \dot{f}(x)g(x)$$ |
| $$\frac{d}{dx}\left(\frac{f(x)}{g(x)}\right) = \frac{f(x)\dot{g}(x)-\dot{f}(x)g(x)}{(g(x))^2}$$ |
| $$\frac{d}{dx}(\sin(x)) = \cos(x) $$ |
| $$\frac{d}{dx}(\cos(x)) = -\sin(x) $$ |
| $$\frac{d}{dx}(\tan(x)) = \sec^2(x) $$ |
| $$\frac{d}{dx}(\sin^{-1}(x)) = \frac{1}{\sqrt{1-x^2}}$$ |
| $$\frac{d}{dx}(\cos^{-1}(x)) = \frac{-1}{\sqrt{1-x^2}}$$ |
| $$\frac{d}{dx}(\tan^{-1}(x)) = \frac{1}{1+x^2}$$ |
| $$\frac{d}{dx}(a^x) = a^x\ln(a)$$ |
| $$\frac{d}{dx}(\ln|x|) = \frac{1}{x}$$ |
| $$\frac{d}{dx}(\log_a(x)) = \frac{1}{x\ln(a)}$$ |
math.1763154538.txt.gz · Last modified: by theorytoe
