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Evaluate
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Differentiate w.r.t. x
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2x^{2}-3x-6+3x-x^{2}
Subtract 5 from -1 to get -6.
2x^{2}-6-x^{2}
Combine -3x and 3x to get 0.
x^{2}-6
Combine 2x^{2} and -x^{2} to get x^{2}.
\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}-3x-6+3x-x^{2})
Subtract 5 from -1 to get -6.
\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}-6-x^{2})
Combine -3x and 3x to get 0.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-6)
Combine 2x^{2} and -x^{2} to get x^{2}.
2x^{2-1}
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}
Subtract 1 from 2.
2x
For any term t, t^{1}=t.