y=(sin^2x)/sin(x^2)的详细求导过程.

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y=(sin^2x)/sin(x^2)的详细求导过程.
y=(sin^2x)/sin(x^2)的详细求导过程.

y=(sin^2x)/sin(x^2)的详细求导过程.
y=(sin^2x)/sin(x^2)
y'={(sin^2x)'sin(x^2)-(sin^2x)[sin(x^2)]'}/sin^2(x^2)
={(2sinxcosx)sin(x^2)-(sin^2x)[2xcos(x^2)]}/sin^2(x^2)
=[sin2xsin(x^2)-2xsin^2xcos(x^2)]/sin^2(x^2).

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