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Differentiate w.r.t. c
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2ct^{2}+6ct^{2}-2t^{2}c
Multiply t and t to get t^{2}.
8ct^{2}-2t^{2}c
Combine 2ct^{2} and 6ct^{2} to get 8ct^{2}.
6ct^{2}
Combine 8ct^{2} and -2t^{2}c to get 6ct^{2}.