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Evaluate
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Differentiate w.r.t. x
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x^{2}-3x+5-x+5
Combine 2x^{2} and -x^{2} to get x^{2}.
x^{2}-4x+5+5
Combine -3x and -x to get -4x.
x^{2}-4x+10
Add 5 and 5 to get 10.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-3x+5-x+5)
Combine 2x^{2} and -x^{2} to get x^{2}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-4x+5+5)
Combine -3x and -x to get -4x.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-4x+10)
Add 5 and 5 to get 10.
2x^{2-1}-4x^{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}-4x^{1-1}
Subtract 1 from 2.
2x^{1}-4x^{0}
Subtract 1 from 1.
2x-4x^{0}
For any term t, t^{1}=t.
2x-4
For any term t except 0, t^{0}=1.