Evaluate
3\left(xy\right)^{2}
Differentiate w.r.t. x
6xy^{2}
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\frac{12y}{7x^{3}}\times \frac{7x^{5}y^{2}}{4y}
Cancel out x in both numerator and denominator.
\frac{12y}{7x^{3}}\times \frac{7yx^{5}}{4}
Cancel out y in both numerator and denominator.
\frac{12y\times 7yx^{5}}{7x^{3}\times 4}
Multiply \frac{12y}{7x^{3}} times \frac{7yx^{5}}{4} by multiplying numerator times numerator and denominator times denominator.
3yyx^{2}
Cancel out 4\times 7x^{3} in both numerator and denominator.
3y^{2}x^{2}
Multiply y and y to get y^{2}.
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}