- 125 b < - 6 ? ( \text { Lesson } 4 )
Løs for o
\left\{\begin{matrix}o<\frac{125b}{24eLns^{2}}\text{, }&\left(L<0\text{ and }s\neq 0\text{ and }n<0\right)\text{ or }\left(L>0\text{ and }s\neq 0\text{ and }n>0\right)\\o\in \mathrm{R}\text{, }&b>0\text{ and }\left(n=0\text{ or }s=0\text{ or }L=0\right)\\o>\frac{125b}{24eLns^{2}}\text{, }&\left(L>0\text{ and }s\neq 0\text{ and }n<0\right)\text{ or }\left(L<0\text{ and }s\neq 0\text{ and }n>0\right)\end{matrix}\right,
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Eksempler
Kvadratisk ligning
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometri
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Lineær ligning
y = 3x + 4
Aritmetik
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Samtidig ligning
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiering
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Grænser
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}