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Differentiate w.r.t. x
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2\times 77777x^{2-1}+54225x^{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}.
155554x^{2-1}+54225x^{1-1}
Multiply 2 times 77777.
155554x^{1}+54225x^{1-1}
Subtract 1 from 2.
155554x^{1}+54225x^{0}
Subtract 1 from 1.
155554x+54225x^{0}
For any term t, t^{1}=t.
155554x+54225\times 1
For any term t except 0, t^{0}=1.
155554x+54225
For any term t, t\times 1=t and 1t=t.