若函数y=2^arctan√x,则dy=

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若函数y=2^arctan√x,则dy=若函数y=2^arctan√x,则dy=若函数y=2^arctan√x,则dy=用复合函数求导,首先把arctan√x看成一个整体dy=In(arctan√x)

若函数y=2^arctan√x,则dy=
若函数y=2^arctan√x,则dy=

若函数y=2^arctan√x,则dy=
用复合函数求导,首先把arctan√x看成一个整体
dy=In(arctan√x)*2^arctan√x *d(arctan√x )再把√x看成一个整体
=In(arctan√x)*2^arctan√x *1/(1+x)*d √x
=In(arctan√x)*2^arctan√x *1/(1+x)* 1/2√x dx