Evaluate
\frac{46}{5z}
Differentiate w.r.t. z
-\frac{46}{5z^{2}}
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\frac{7\times 5}{5z}+\frac{11}{5z}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of z and 5z is 5z. Multiply \frac{7}{z} times \frac{5}{5}.
\frac{7\times 5+11}{5z}
Since \frac{7\times 5}{5z} and \frac{11}{5z} have the same denominator, add them by adding their numerators.
\frac{35+11}{5z}
Do the multiplications in 7\times 5+11.
\frac{46}{5z}
Do the calculations in 35+11.
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}