第四题高数
展开全部
x=(csct)^2 +(sect)^2
dx/dt
= -2(csct)^2.cot(t) +2(sect)^2. tant
= -2 cost /(sint)^3 + 2 sint/(cost)^3
= 2[ (sint)^4 - (cost)^4] /滚山 (sint.cost)^3
=2[ (sint)^2- (cost)^2 ]/(sint.cost)^3
=-2cos2t/大段中燃渣(sint.cost)^3
=-16cos2t/(sin2t)^3
=-16 cot(2t) .[csc(2t)]^2
ans:B
dx/dt
= -2(csct)^2.cot(t) +2(sect)^2. tant
= -2 cost /(sint)^3 + 2 sint/(cost)^3
= 2[ (sint)^4 - (cost)^4] /滚山 (sint.cost)^3
=2[ (sint)^2- (cost)^2 ]/(sint.cost)^3
=-2cos2t/大段中燃渣(sint.cost)^3
=-16cos2t/(sin2t)^3
=-16 cot(2t) .[csc(2t)]^2
ans:B
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