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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(-5x)
Combine 3x and -8x to get -5x.
-5x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-5x^{0}
Subtract 1 from 1.
-5
For any term t except 0, t^{0}=1.
-5x
Combine 3x and -8x to get -5x.