f(x)=根号X乘以SINX,求二阶导数,y=Insin(2x+1)求DY/DX
问题描述:
f(x)=根号X乘以SINX,求二阶导数,y=Insin(2x+1)求DY/DX
答
y=√x*sinxy'=sinx/(2√x)+√x*cosxy''=1/2[√xcosx-sinx/(2√x)]/x+cosx/(2√x)-√x*sinxy=Insin(2x+1)y'=1/sin(2x+1)*sin(2x+1)'=1/sin(2x+1)*cos(2x+1)*(2x+1)'=2cot(2x+1)