函数 y=[1/(1+√x)]-[1/(1-√x)]的导数?
y=[(1-√x)/(1-x)]-[(1+√x)/(1-x)]=-2√x/(1-x);
y'=-[(1/√x)(1-x)-(2√x)(-1)] / (1-x)²=-[(1-x)+2x] / [√x(1-x)²]=-(1+x)/[√x(1-x)²];
函数 y=[1/(1+√x)]-[1/(1-√x)]的导数?
y=[(1-√x)/(1-x)]-[(1+√x)/(1-x)]=-2√x/(1-x);
y'=-[(1/√x)(1-x)-(2√x)(-1)] / (1-x)²=-[(1-x)+2x] / [√x(1-x)²]=-(1+x)/[√x(1-x)²];