若函数y=2^arctan√x,则dy=

问题描述:

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