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| d/dx 8cot^3(x/2) | |
| =d/dx 8tan^(-3)(x/2)= | |
| =-3*8 tan^-4(x/2) *1/2sec^2(x/2)= | |
| =-12*tan^-4(x/2)*cos^(-2)(x/2) |
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d/dx tan(x/2) = sec(x/2)^2 * 1/2