点P在曲线y=x^8-x+2/3上移动,设点P处切线的斜率角为α,则α的范围为
问题描述:
点P在曲线y=x^8-x+2/3上移动,设点P处切线的斜率角为α,则α的范围为
答
若点P在曲线y=x^8-x+2/3,无意义,α∈【0,π)
函数应为:
y=x^3-x+2/3
y'=3x^2-1≥-1
∴点P处切线的斜率k≥-1
-1≤k