Differentiate w.r.t. x
16\sqrt{3}x-37
Evaluate
8\sqrt{3}x^{2}-37x-916
Graph
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2\times 8\sqrt{3}x^{2-1}-37x^{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}.
16\sqrt{3}x^{2-1}-37x^{1-1}
Multiply 2 times 8\sqrt{3}.
16\sqrt{3}x^{1}-37x^{1-1}
Subtract 1 from 2.
16\sqrt{3}x^{1}-37x^{0}
Subtract 1 from 1.
16\sqrt{3}x-37x^{0}
For any term t, t^{1}=t.
16\sqrt{3}x-37
For any term t except 0, t^{0}=1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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