單項選擇題

曲線y=x3(x-4)既單增又向上凹的區(qū)間為()

A.(-∞,0)
B.(0,+∞)
C.(2,+∞)
D.(3,+∞)


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2.單項選擇題函數(shù)f(x)=10arctanx-3lnx的極大值是()

A.10arctan2-31n2
B.(5/2)π-3
C.10arctan3-3ln3
D.10arctan(1/3)

3.單項選擇題

點(0,1)是曲線y=ax3+bx+c的拐點,則a、b、c的值分別為()

A.a=1,b=-3,c=-2
B.a≠0的實數(shù),b為任意實數(shù),c=1
C.a=1,b=0,c=2
D.a=0、b為任意實數(shù),c=1

4.單項選擇題

過點M0(-1,1)且與曲線2ex-2cosy-1=0上點(0,π/3)的切線相垂直的直線方程是:()

A.y-π/3=(/2)x
B.y-π/3=-(2/)x
C.y-1=(/2)(x+1)
D.y-1=-(2/)(x+1)

5.單項選擇題

已知由方程siny+xey=0,確定y是x的函數(shù),則dy/dx的值是:()

A.-(ey+cosy)/xey
B.-ey/cosy
C.-ey/(cosy+xey
D.-cosy/xey