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Evaluate
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Differentiate w.r.t. x
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-3x+3+4x^{2}+6
Combine 2x and -5x to get -3x.
-3x+9+4x^{2}
Add 3 and 6 to get 9.
\frac{\mathrm{d}}{\mathrm{d}x}(-3x+3+4x^{2}+6)
Combine 2x and -5x to get -3x.
\frac{\mathrm{d}}{\mathrm{d}x}(-3x+9+4x^{2})
Add 3 and 6 to get 9.
-3x^{1-1}+2\times 4x^{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}.
-3x^{0}+2\times 4x^{2-1}
Subtract 1 from 1.
-3x^{0}+8x^{2-1}
Multiply 2 times 4.
-3x^{0}+8x^{1}
Subtract 1 from 2.
-3x^{0}+8x
For any term t, t^{1}=t.
-3+8x
For any term t except 0, t^{0}=1.