Fachtóirigh
-\frac{1}{72}\left(x-\frac{79-3\sqrt{697}}{2}\right)\left(x-\frac{3\sqrt{697}+79}{2}\right)\left(x+1\right)^{7}
Luacháil
x\left(x+1\right)^{7}-\frac{\left(x+1\right)^{9}}{72}+\frac{\left(x+1\right)^{8}}{8}
Tráth na gCeist
Differentiation
\frac { d } { d x } \frac { x ( 1 + x ) ^ { 8 } } { 8 } - \frac { ( 1 + x ) ^ { 9 } } { 72 }
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{72\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x\left(1+x\right)^{8}}{8})-\left(1+x\right)^{9}}{72}
Fág \frac{1}{72} as an áireamh.
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}