Evaluer
\frac{\cos(t)\left(\sin(t)\right)^{2}\left(3\left(\cos(t)\right)^{2}-\left(\sin(t)\right)^{2}\right)}{\left(\cos(2t)\right)^{\frac{3}{2}}}
Differentier w.r.t. t
\frac{\sin(t)\left(-\left(\sin(t)\right)^{2}\left(\cos(t)\right)^{4}+8\left(\cos(t)\right)^{2}\left(\sin(t)\right)^{4}+6\left(\cos(t)\right)^{6}-\left(\sin(t)\right)^{6}\right)}{\left(\cos(2t)\right)^{\frac{5}{2}}}
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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}