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Differentiate w.r.t. x
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3ex^{3-1}+2\left(-23\right)x^{2-1}+142x^{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}.
3ex^{2}+2\left(-23\right)x^{2-1}+142x^{1-1}
Subtract 1 from 3.
3ex^{2}-46x^{2-1}+142x^{1-1}
Multiply 2 times -23.
3ex^{2}-46x^{1}+142x^{1-1}
Subtract 1 from 2.
3ex^{2}-46x^{1}+142x^{0}
Subtract 1 from 1.
3ex^{2}-46x+142x^{0}
For any term t, t^{1}=t.
3ex^{2}-46x+142\times 1
For any term t except 0, t^{0}=1.
3ex^{2}-46x+142
For any term t, t\times 1=t and 1t=t.