Question

求y^2+lny-(2x^3-1)^3=0的导数

Answer 1

解:两边求导数得:

2y*y'+(1/y)*y'-(3(2x^3-1)^2)*(2x^3-1)'=0,

((2y^2+1)/y)*y'-(3(2x^3-1)^2)*(6x^2)=0,

移项得

y'=(18x^2)(2x^23-1)/((2y^2+1)/y)