y=ln√(x(x+2)/(x+3))的导数：根号里x(x+2)是分子,x+3是分母,_数学解答

y=ln√(x(x+2)/(x+3))的导数：根号里x(x+2)是分子,x+3是分母,

人气：351 ℃　时间：2019-08-18 04:07:50

解答

y=ln√(x(x+2)/(x+3))y'=[1/√(x(x+2)/(x+3))]*[√(x(x+2)/(x+3))]'=(1/2)*1/[√(x(x+2)/(x+3))]^2*[(x(x+2)/(x+3)]'=(x+3)/[2x(x+2)]*[(x(x+2)/(x+3)]'[x(x+2)/(x+3)]'={[x(x+2)]'*(x+3)-x(x+2)*(x+3)'}/(x+3)^2=(x...