( \beta ) ^ { 2 } + ( \tan \alpha - \tan \beta ) ^ { 2 } - \frac { } { \sec ^ { 2 } \alpha \sec ^ { 2 } \beta }
Evaluer
\frac{-2\left(\cos(\alpha )\cos(\beta )\right)^{4}+2\left(\beta \cos(\alpha )\cos(\beta )\right)^{2}+2\left(\sin(\alpha )\cos(\beta )\right)^{2}+2\left(\sin(\beta )\cos(\alpha )\right)^{2}-\sin(2\alpha )\sin(2\beta )}{2\left(\cos(\alpha )\cos(\beta )\right)^{2}}
Differentier w.r.t. β
2\left(-\frac{\sin(\alpha -\beta )}{\cos(\alpha )\left(\cos(\beta )\right)^{3}}+\frac{1}{2}\sin(2\beta )\left(\cos(\alpha )\right)^{2}+\beta \right)
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Eksempler
Kvadratisk ligning
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
Lineær ligning
y = 3x + 4
Aritmetik
699 * 533
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}