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Differentiate w.r.t. c_3
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\frac{\mathrm{d}}{\mathrm{d}c_{3}}(c_{3}^{2}+6)
The factorial of 3 is 6.
2c_{3}^{2-1}
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}.
2c_{3}^{1}
Subtract 1 from 2.
2c_{3}
For any term t, t^{1}=t.
c_{3}^{2}+6
The factorial of 3 is 6.