Evaluate
\frac{17}{100x}
Differentiate w.r.t. x
-\frac{17}{100x^{2}}
Graph
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\frac{5}{100x}+\frac{3\times 4}{100x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 20x and 25x is 100x. Multiply \frac{1}{20x} times \frac{5}{5}. Multiply \frac{3}{25x} times \frac{4}{4}.
\frac{5+3\times 4}{100x}
Since \frac{5}{100x} and \frac{3\times 4}{100x} have the same denominator, add them by adding their numerators.
\frac{5+12}{100x}
Do the multiplications in 5+3\times 4.
\frac{17}{100x}
Do the calculations in 5+12.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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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}