Differentiate w.r.t. x_5
1
Evaluate
x_{5}+141
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\frac{\mathrm{d}}{\mathrm{d}x_{5}}(x_{5}+141)
Add 45 and 96 to get 141.
x_{5}^{1-1}
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}.
x_{5}^{0}
Subtract 1 from 1.
1
For any term t except 0, t^{0}=1.
x_{5}+141
Add 45 and 96 to get 141.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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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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