解:根据已知,对f(x,x²)=x³求关于x的导数,则:f'1·1+f'2·2x=3x²f'1+2xf'2=3x²根据题意:f'1=x²-2x^4于是:x²-2x^4+2xf'2=3x²f'2=(3x²-x²+2x^4)/2x = x+x³∴f'y(x,x²)=x+x³