设确定,则d2y/dx2=________.

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问题确定,则d2y/dx2=________.

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答案2(1+t2)

解析 dy/dx=(dy/dt)/(dx/dt)=[2t/(1+t2)]/[1/(1+y2)]=2t,d2y/dx2=d(dy/dx)/dx=d(2t)/dx=[d(2t)/dt]/[dx/dt]=2/[1/(1+t2)]=2(1+t2)
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