Evaluate
\frac{19}{6x}
Differentiate w.r.t. x
-\frac{19}{6x^{2}}
Graph
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\frac{2\times 2}{6x}+\frac{5\times 3}{6x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3x and 2x is 6x. Multiply \frac{2}{3x} times \frac{2}{2}. Multiply \frac{5}{2x} times \frac{3}{3}.
\frac{2\times 2+5\times 3}{6x}
Since \frac{2\times 2}{6x} and \frac{5\times 3}{6x} have the same denominator, add them by adding their numerators.
\frac{4+15}{6x}
Do the multiplications in 2\times 2+5\times 3.
\frac{19}{6x}
Do the calculations in 4+15.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
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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
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Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}