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Evaluate
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Differentiate w.r.t. x
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x^{2}x-3x+3
Multiply x and x to get x^{2}.
x^{3}-3x+3
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}x-3x+3)
Multiply x and x to get x^{2}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}-3x+3)
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
3x^{3-1}-3x^{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}.
3x^{2}-3x^{1-1}
Subtract 1 from 3.
3x^{2}-3x^{0}
Subtract 1 from 1.
3x^{2}-3
For any term t except 0, t^{0}=1.