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Diffstat (limited to 'src/math/derivatives.org')
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diff --git a/src/math/derivatives.org b/src/math/derivatives.org new file mode 100644 index 0000000..b9d431d --- /dev/null +++ b/src/math/derivatives.org @@ -0,0 +1,26 @@ +#+title:Table of Derivatives +#+setupfile: ../../math_options.org + +* Disclaimer +This site as of now just a technology demonstration and its claims +should not be taken as true (even though I myself am pretty confident +they are) + +* General Properties of the Derivative +Let $f$ and $g$ be real valued functions and $c$ some real constant: +\begin{align*} +\dcoff{(cf)} &= c\sdcoff{f}\\ +\dcoff{(f \pm g)} &= \sdcoff{f} \pm \sdcoff{g}\\ +\dcoff{(fg)} &= \sdcoff{f}g + f\sdcoff{g}\\ +\dcoff{\left(\frac{f}{g}\right)} &= \frac{\sdcoff{f}g - f\sdcoff{g}}{g^2} +\end{align*} + +* Trigonometric Funtions +\begin{align*} +\ddx{\sin(x)} &= \cos(x)\\ +\ddx{\cos(x)} &= -\sin(x)\\ +\ddx{\tan(x)} &= \sec^2(x)\\ +\ddx{\sec(x)} &= \sec(x)\tan(x)\\ +\ddx{\csc(x)} &= \csc(x)\cot(x)\\ +\ddx{\csc(x)} &= -\csc^2(x) +\end{align*} |