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Differentiate w.r.t. c
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\frac{\mathrm{d}}{\mathrm{d}c}(\frac{7}{8}c)
Combine \frac{1}{8}c and \frac{3}{4}c to get \frac{7}{8}c.
\frac{7}{8}c^{1-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{7}{8}c^{0}
Subtract 1 from 1.
\frac{7}{8}\times 1
For any term t except 0, t^{0}=1.
\frac{7}{8}
For any term t, t\times 1=t and 1t=t.
\frac{7}{8}c
Combine \frac{1}{8}c and \frac{3}{4}c to get \frac{7}{8}c.