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