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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(509x)
Combine 253x and 256x to get 509x.
509x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
509x^{0}
Subtract 1 from 1.
509\times 1
For any term t except 0, t^{0}=1.
509
For any term t, t\times 1=t and 1t=t.
509x
Combine 253x and 256x to get 509x.