设函数y=arctan2x ,dy则 __________

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设函数y=arctan2x ,dy则 __________
设函数y=arctan2x ,dy则 __________

设函数y=arctan2x ,dy则 __________
dy=2/(1+4x^2) *dx

[2/(1+4x^2)]dx

dy=2/(1+4x^2) *dx

dy=(arctan2x)'dx=[2*2x/(1-4x²)]dx
=[4x/(1-4x²)]dx

2/(1+4x^2)