Y=(x-1)^3(2x+3)^2求极值
问题描述:
Y=(x-1)^3(2x+3)^2求极值
答
y '=3(x-1)²(2x+3)²+(x-1)³×2(2x+3)*2=5(x-1)²(2x+3)(2x+1)令y ‘=0 即5(x-1)²(2x+3)(2x+1)=0 得 x=1 或x=-3/2 或 x=-1/2在区间(-∞,-3/2)上y ’>0,在区间(-3/2,-1/2)...