设f(x)=x3+bx+c,b>0,x在[-1,1]内,且f (-1/2)*f (1/2)

问题描述:

设f(x)=x3+bx+c,b>0,x在[-1,1]内,且f (-1/2)*f (1/2)

f(x)=x3+bx+c
f'(x)=3x²+b b>0
f'(x)在x轴上方
f(x)在[-1,1]内单调递增,并在x=0处有极值
且f (-1/2)*f (1/2)