用對數求導數Y=(X+1)^2*(3-X)^(1/2)*(X^2+1)^(-3)

用對數求導數Y=(X+1)^2*(3-X)^(1/2)*(X^2+1)^(-3)

Y=(X+1)^2*(3-X)^(1/2)*(X^2+1)^(-3),等式兩邊取對數,得到lny=2ln(x+1)+0.5ln(3-x)-3ln(x^2+1),等式兩邊對x求導,得到y'/y=2/(x+1)+1/(6-2x)- 6x/(x^2+1)=(9x^3 -11x^2- 39x+13)/ [(x+1)(6-2x)(x^2+1)],等式兩…