Differentiate w.r.t. z
2z
Evaluate
z^{2}+82
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\frac{\mathrm{d}}{\mathrm{d}z}(z^{2}+82)
Add 72 and 10 to get 82.
2z^{2-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
2z^{1}
Subtract 1 from 2.
2z
For any term t, t^{1}=t.
z^{2}+82
Add 72 and 10 to get 82.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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