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Evaluate
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Differentiate w.r.t. c
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5c+2+1
Combine 4c and c to get 5c.
5c+3
Add 2 and 1 to get 3.
\frac{\mathrm{d}}{\mathrm{d}c}(5c+2+1)
Combine 4c and c to get 5c.
\frac{\mathrm{d}}{\mathrm{d}c}(5c+3)
Add 2 and 1 to get 3.
5c^{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}.
5c^{0}
Subtract 1 from 1.
5\times 1
For any term t except 0, t^{0}=1.
5
For any term t, t\times 1=t and 1t=t.