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OpenStudy (anonymous):
evaluate dy/dx (2pi)/3) if y = 2 cot x - csc x. a.-(10/3) b. -(6/3) c.-(8/3) d.-(4/3)
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OpenStudy (nenadmatematika):
dy/dx=-2/sin^2(x)+1/sin^2(x)*cos(x) and when you plug in x=2pi/3 you get dy/dx(2pi/3)=-2/(3/4)+1/(3/4)*(-1/2)=-8/3+4/3*(-1/2)=-8/3-2/3=-10/3
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