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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(-0.1x)
Combine 0.9x and -x to get -0.1x.
-0.1x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-0.1x^{0}
Subtract 1 from 1.
-0.1
For any term t except 0, t^{0}=1.
-0.1x
Combine 0.9x and -x to get -0.1x.