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Diffstat (limited to 'math/derivatives.org')
| -rw-r--r-- | math/derivatives.org | 31 |
1 files changed, 0 insertions, 31 deletions
diff --git a/math/derivatives.org b/math/derivatives.org deleted file mode 100644 index 4d5d4be..0000000 --- a/math/derivatives.org +++ /dev/null @@ -1,31 +0,0 @@ -#+TITLE:Table of Derivatives -#+SETUPFILE: ../math_options.org -#+LATEX_HEADER: \usepackage{bm} -#+LATEX_HEADER: \usepackage{mathtools} -#+LATEX_HEADER: \newcommand{\dcoff}[1]{\frac{\text{d}}{\text{d}x} #1} -#+LATEX_HEADER: \newcommand{\sdcoff}[1]{\frac{\text{d}#1}{\text{d}x}} -#+LATEX_HEADER: \newcommand{\deriv}[2]{\frac{\text{d}}{\text{d}x} #1 &= #2} - -* 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*} -\deriv{\sin(x)}{\cos(x)}\\ -\deriv{\cos(x)}{-\sin(x)}\\ -\deriv{\tan(x)}{\sec^2(x)}\\ -\deriv{\sec(x)}{\sec(x)\tan(x)}\\ -\deriv{\csc(x)}{\csc(x)\cot(x)}\\ -\deriv{\csc(x)}{-\csc^2(x)} -\end{align*} |