left parenthesis, start fraction, 1, divided by, square root of, 2, end square root, end fraction, plus, start fraction, 1, divided by, square root of, 3, end square root, end fraction, right parenthesis, dot, left parenthesis, start fraction, 1, divided by, square root of, 2, end square root, end fraction, minus, start fraction, 1, divided by, square root of, 3, end square root, end fraction, right parenthesis, start text, space, a, n, space, end text, left parenthesis, start fraction, 3, divided by, square root of, 5, end square root, end fraction, minus, start fraction, 2, divided by, square root of, 6, end square root, end fraction, right parenthesis
( \frac { 1 } { \sqrt { 2 } } + \frac { 1 } { \sqrt { 3 } } ) \cdot ( \frac { 1 } { \sqrt { 2 } } - \frac { 1 } { \sqrt { 3 } } ) \text { an } ( \frac { 3 } { \sqrt { 5 } } - \frac { 2 } { \sqrt { 6 } } )
求值
\frac{\left(9\sqrt{5}-5\sqrt{6}\right)an}{90}
关于 n 的微分
\frac{\sqrt{5}a}{10}-\frac{\sqrt{6}a}{18}
共享
已复制到剪贴板
示例
二次方程式
{ x } ^ { 2 } - 4 x - 5 = 0
三角学
4 \sin \theta \cos \theta = 2 \sin \theta
线性方程
y = 3x + 4
算术
699 * 533
矩阵
\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]
联立方程
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
微分
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
积分
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
限制
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}