由方程y=3x-ln(x+y)+siny所確定隱函數y=y(x)的導數y'

由方程y=3x-ln(x+y)+siny所確定隱函數y=y(x)的導數y'

對等式兩邊求導:y'=3-(1+y')/(x+y)+y'cosy
∴y'=[3(x+y)-1]/[(x+y)(1-cosy)+1]