Evaluate
-\frac{25x}{12}
Differentiate w.r.t. x
-\frac{25}{12} = -2\frac{1}{12} = -2.0833333333333335
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-\frac{1}{12}x-2x
Combine \frac{1}{4}x and -\frac{1}{3}x to get -\frac{1}{12}x.
-\frac{25}{12}x
Combine -\frac{1}{12}x and -2x to get -\frac{25}{12}x.
\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{1}{12}x-2x)
Combine \frac{1}{4}x and -\frac{1}{3}x to get -\frac{1}{12}x.
\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{25}{12}x)
Combine -\frac{1}{12}x and -2x to get -\frac{25}{12}x.
-\frac{25}{12}x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{25}{12}x^{0}
Subtract 1 from 1.
-\frac{25}{12}
For any term t except 0, t^{0}=1.
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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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