Evaluate
\frac{xa^{3}-2xa^{2}+x+a^{2}x^{-a+3}+a^{4}-2a^{3}}{x\left(x+a\right)a^{2}}
Differentiate w.r.t. x
\frac{2a^{4}-a^{5}+2\left(ax\right)^{2}+2a^{3}x^{-a+3}+a^{2}x^{-a+4}-a^{3}x^{-a+4}-a^{4}x^{-a+3}+4xa^{3}-2xa^{4}-x^{2}-x^{2}a^{3}}{\left(ax\left(x+a\right)\right)^{2}}
Graph
Share
Copied to clipboard
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}