Differentiate w.r.t. x
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3x^{1-1}+2\times 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}.
3x^{0}+2\times 2x^{2-1}
Subtract 1 from 1.
3x^{0}+4x^{2-1}
Multiply 2 times 2.
3x^{0}+4x^{1}
Subtract 1 from 2.
3x^{0}+4x
For any term t, t^{1}=t.
3\times 1+4x
For any term t except 0, t^{0}=1.
3+4x
For any term t, t\times 1=t and 1t=t.