Question

两道函数的求导问题,过程越详细越好,谢谢

Answer 1

设：A(X)=(1-√X),B(X)=(1+√X)；f(X)=A(X)/B(X)；f'(X)=[A'(X)B(X)-A(X)B'(X)]/B^2(X)A'(X)=-0.5/√X；B'(X)=0.5/√X；A(4)=-1, B(4)=3; A'(4)=-1/4, B'(4)=1/4f '(4)=(-3/4+1/4)/9=-1/18.y=[1+(1/√x)](1+√x)=1/√x+2+√xy'=-0.5/(x√x)+0+0.5/√x=0.5(1+1/x)/√x