Differentiate w.r.t. n
2000n^{999}
Evaluate
2n^{1000}
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1000\times 2n^{1000-1}
The derivative of ax^{n} is nax^{n-1}.
2000n^{1000-1}
Multiply 1000 times 2.
2000n^{999}
Subtract 1 from 1000.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
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
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