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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(90x-17)
Multiply 45 and 2 to get 90.
90x^{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}.
90x^{0}
Subtract 1 from 1.
90\times 1
For any term t except 0, t^{0}=1.
90
For any term t, t\times 1=t and 1t=t.
90x-17
Multiply 45 and 2 to get 90.