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Differentiate w.r.t. c
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\frac{\mathrm{d}}{\mathrm{d}c}(15-16c)
Combine -8c and -8c to get -16c.
-16c^{1-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
-16c^{0}
Subtract 1 from 1.
-16
For any term t except 0, t^{0}=1.
15-16c
Combine -8c and -8c to get -16c.