函数和(x)在定义域R内可导,若f(x)=f(2-x),且(x-1)f’(x)b>c B,c>b>a C,b>a>c D,a>c>b
问题描述:
函数和(x)在定义域R内可导,若f(x)=f(2-x),且(x-1)f’(x)b>c B,c>b>a C,b>a>c D,a>c>b
答
选c.(0,1)f(x)递增,x>1,f(x)递减,在x,y坐标系中画图可知!能有详细解析吗?x=0时,f(0)=f(2),-f'(0)0,x=1/2时,f(1/2)=f(3/2),-1/2f'(1/2)0,x=3时,f(3)=f(-1),2f'(3)0,f(x)递增x>1,f'(x)