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