Evaluate
x_{8}-192
Differentiate w.r.t. x_8
1
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x_{8}-64\sqrt{9}
Calculate 8 to the power of 2 and get 64.
x_{8}-64\times 3
Calculate the square root of 9 and get 3.
x_{8}-192
Multiply 64 and 3 to get 192.
\frac{\mathrm{d}}{\mathrm{d}x_{8}}(x_{8}-64\sqrt{9})
Calculate 8 to the power of 2 and get 64.
\frac{\mathrm{d}}{\mathrm{d}x_{8}}(x_{8}-64\times 3)
Calculate the square root of 9 and get 3.
\frac{\mathrm{d}}{\mathrm{d}x_{8}}(x_{8}-192)
Multiply 64 and 3 to get 192.
x_{8}^{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_{8}^{0}
Subtract 1 from 1.
1
For any term t except 0, t^{0}=1.
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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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