Differentiate w.r.t. c
392c^{7}-336c^{3}d^{5}
Evaluate
49c^{8}-84c^{4}d^{5}+36
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8\times 49c^{8-1}+4\left(-84d^{5}\right)c^{4-1}
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}.
392c^{8-1}+4\left(-84d^{5}\right)c^{4-1}
Multiply 8 times 49.
392c^{7}+4\left(-84d^{5}\right)c^{4-1}
Subtract 1 from 8.
392c^{7}+\left(-336d^{5}\right)c^{4-1}
Multiply 4 times -84d^{5}.
392c^{7}+\left(-336d^{5}\right)c^{3}
Subtract 1 from 4.
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