已知实数a,b,c,d成等差数列,且曲线y=ln(x+2)-x的极大值点坐标为(b,c),则a+d等于( )
A.-1
B.0
C.1
D.2
∵y=ln(x+2)-x
∴y•=
-11 x+2
∵极大值点坐标为(b,c),
∴
-1=0,解得b+2=11 b+2
∵曲线y=ln(x+2)-x的极大值点坐标为(b,c),
∴ln(b+2)-b=c,即b+c=ln(b+2)=0
∵a,b,c,d成等差数列,
∴a+d=b+c=0
故选B
已知实数a,b,c,d成等差数列,且曲线y=ln(x+2)-x的极大值点坐标为(b,c),则a+d等于( )
A.-1
B.0
C.1
D.2
∵y=ln(x+2)-x
∴y•=
-11 x+2
∵极大值点坐标为(b,c),
∴
-1=0,解得b+2=11 b+2
∵曲线y=ln(x+2)-x的极大值点坐标为(b,c),
∴ln(b+2)-b=c,即b+c=ln(b+2)=0
∵a,b,c,d成等差数列,
∴a+d=b+c=0
故选B