\frac{d}{d x } \left( \frac{ -1 }{ 6 \pi } \left( { \left( { \left( \cos ( \pi x ) \right) }^{ 6 } \times \sin ( \pi x ) \right) }^{ } - \pi { \left( \cos ( \pi x ) \right) }^{ 7 } \right) \right)
Luacháil
\frac{\left(12\left(\sin(\pi x)\right)^{2}-2\left(\cos(\pi x)\right)^{2}-7\pi \sin(2\pi x)\right)\left(\cos(\pi x)\right)^{5}}{12}
Difreálaigh w.r.t. x
\frac{\pi \left(42\pi \cos(\pi x)\left(\sin(\pi x)\right)^{2}+19\sin(\pi x)\left(\cos(\pi x)\right)^{2}-7\pi \left(\cos(\pi x)\right)^{3}-30\left(\sin(\pi x)\right)^{3}\right)\left(\cos(\pi x)\right)^{4}}{6}
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}