Differentiate w.r.t. x
2\left(x-\sqrt{3}\right)
Evaluate
x^{2}-2\sqrt{3}x+2
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2x^{2-1}+\left(-2\sqrt{3}\right)x^{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}.
2x^{1}+\left(-2\sqrt{3}\right)x^{1-1}
Subtract 1 from 2.
2x^{1}+\left(-2\sqrt{3}\right)x^{0}
Subtract 1 from 1.
2x+\left(-2\sqrt{3}\right)x^{0}
For any term t, t^{1}=t.
2x+\left(-2\sqrt{3}\right)\times 1
For any term t except 0, t^{0}=1.
2x-2\sqrt{3}
For any term t, t\times 1=t and 1t=t.
x^{2}-2\sqrt{3}x+2
Multiply -1 and 2 to get -2.
Examples
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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