求函數y=ln(x^2+3x+2)的n階導數dny/dx^n

求函數y=ln(x^2+3x+2)的n階導數dny/dx^n

y=ln(x^2+3x+2)
y'=(2x+3)/(x^2+3x+2)=1/(x+1)+1/(x+2)
囙此y的的n階導數為(-1)^(n-1)*(n-1)!/(x+1)^n+(-1)^(n-1)*(n-1)!/(x+2)^n