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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(257x)
Combine 252x and 5x to get 257x.
257x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
257x^{0}
Subtract 1 from 1.
257\times 1
For any term t except 0, t^{0}=1.
257
For any term t, t\times 1=t and 1t=t.
257x
Combine 252x and 5x to get 257x.