Luacháil
\frac{2\cos(x)\ln(\tan(x))\left(\sin(x)\right)^{2}\sin(x\ln(\tan(x)))+2x\sin(x)\sin(x\ln(\tan(x)))+\sin(2x)}{2\cos(x)\left(\sin(x)\right)^{2}}
Difreálaigh w.r.t. x
\frac{\cos(x\ln(\tan(x)))\left(\sin(x)\sin(2x)\ln(\tan(x))\right)^{2}+4\cos(x\ln(\tan(x)))\left(x\sin(x)\right)^{2}+4x\sin(2x)\ln(\tan(x))\left(\sin(x)\right)^{2}\cos(x\ln(\tan(x)))+4x\sin(x\ln(\tan(x)))\left(\sin(x)\right)^{4}-x\left(\sin(2x)\right)^{2}\sin(x\ln(\tan(x)))+4\sin(2x)\left(\sin(x)\right)^{2}\sin(x\ln(\tan(x)))+\left(\sin(2x)\sin(\frac{x}{2})\right)^{2}-\left(\sin(2x)\cos(\frac{x}{2})\right)^{2}}{\left(\sin(x)\sin(2x)\right)^{2}}
Tráth na gCeist
Trigonometry
5 fadhbanna cosúil le:
\frac { d \ln \tan \frac { x } { 2 } - \cos x \cdot \ln \tan x } { d x }
Roinn
Cóipeáladh go dtí an ghearrthaisce
Samplaí
Cothromóid chearnach
{ x } ^ { 2 } - 4 x - 5 = 0
Triantánacht
4 \sin \theta \cos \theta = 2 \sin \theta
Cothromóid líneach
y = 3x + 4
Uimhríocht
699 * 533
Maitrís
\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]
Cothromóid chomhuaineach
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Difreáil
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Comhtháthú
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Teorainneacha
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}