求导f(x)=e^(-3x+2)另f(X)=1/(x-1) ,f(x)=(x^2)/(x+1)^0.5 的导数

问题描述:

求导f(x)=e^(-3x+2)
另f(X)=1/(x-1) ,f(x)=(x^2)/(x+1)^0.5 的导数

f(x)=e^(-3x+2)f'(x)=e^(-3x+2)'=e^(-3x+2)*(-3x+2)'=-3e^(-3x+2)f(X)=1/(x-1)f'(x)=-1/(x-1)^2*(x-1)'=-1/(x-1)^2f(x)=(x^2)/(x+1)^0.5用公式(u/v)'=(u'v-uv')/v^2f'(x)=(2x*(x+1)^0.5-x^2/(2(x+1)^0.5 ))/(x+1)