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Differentiate w.r.t. c
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2\left(-32\right)c^{2-1}
The derivative of ax^{n} is nax^{n-1}.
-64c^{2-1}
Multiply 2 times -32.
-64c^{1}
Subtract 1 from 2.
-64c
For any term t, t^{1}=t.