解答
f(x)=sin(x)+sin(2x)
解答
Period:2π
Domain:−∞<x<∞
Range:−1−3217−33+sin(2(2π−arccos(8−1+33)))≤f(x)≤1−3217−33+sin(2arccos(8−1+33))
X截距:(2πn,0),(π+2πn,0),(32π+2πn,0),(34π+2πn,0),Y截距:(0,0)
Asymptotes:无
ExtremePoints:极大值arccos(8−1+33)+2πn,1−3217−33+sin(2arccos(8−1+33)),极小值arccos(8−1−33)+2πn,1−3217+33+sin(2arccos(8−1−33)),极大值−arccos(8−1−33)+2π+2πn,−1−3217+33+sin(2(−arccos(8−1−33)+2π)),极小值2π−arccos(8−1+33)+2πn,−1−3217−33+sin(2(2π−arccos(8−1+33)))
+1
间隔符号
Domain:(−∞,∞)
Range:−1−3217−33+sin(2(2π−arccos(8−1+33))),1−3217−33+sin(2arccos(8−1+33))
求解步骤
sin(x)+sin(2x)的周期:2π
sin(x)+sin(2x)的定义域 :−∞<x<∞
sin(x)+sin(2x)的值域:−1−3217−33+sin(2(2π−arccos(8−1+33)))≤f(x)≤1−3217−33+sin(2arccos(8−1+33))
sin(x)+sin(2x)的轴截距点:X 截距:(2πn,0),(π+2πn,0),(32π+2πn,0),(34π+2πn,0),Y 截距:(0,0)
sin(x)+sin(2x)的渐近线:无
sin(x)+sin(2x)的极值点:极大值arccos(8−1+33)+2πn,1−3217−33+sin(2arccos(8−1+33)),极小值arccos(8−1−33)+2πn,1−3217+33+sin(2arccos(8−1−33)),极大值−arccos(8−1−33)+2π+2πn,−1−3217+33+sin(2(−arccos(8−1−33)+2π)),极小值2π−arccos(8−1+33)+2πn,−1−3217−33+sin(2(2π−arccos(8−1+33)))