Evaluate
\frac{27n^{5}}{5}
Differentiate w.r.t. n
27n^{4}
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7.5n^{5}-2.1n^{5}
Combine 4n^{5} and 3.5n^{5} to get 7.5n^{5}.
5.4n^{5}
Combine 7.5n^{5} and -2.1n^{5} to get 5.4n^{5}.
\frac{\mathrm{d}}{\mathrm{d}n}(7.5n^{5}-2.1n^{5})
Combine 4n^{5} and 3.5n^{5} to get 7.5n^{5}.
\frac{\mathrm{d}}{\mathrm{d}n}(5.4n^{5})
Combine 7.5n^{5} and -2.1n^{5} to get 5.4n^{5}.
5\times 5.4n^{5-1}
The derivative of ax^{n} is nax^{n-1}.
27n^{5-1}
Multiply 5 times 5.4.
27n^{4}
Subtract 1 from 5.
Examples
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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
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