Differentiate w.r.t. x
18
Evaluate
18x-67
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\frac{\mathrm{d}}{\mathrm{d}x}(18x-67)
Combine 6x and 12x to get 18x.
18x^{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}.
18x^{0}
Subtract 1 from 1.
18\times 1
For any term t except 0, t^{0}=1.
18
For any term t, t\times 1=t and 1t=t.
18x-67
Combine 6x and 12x to get 18x.
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