單項(xiàng)選擇題

設(shè)曲線,則曲線在x=1處存在下述中哪種情況()?

A.有拐點(diǎn)
B.無拐點(diǎn),縱坐標(biāo)不是極值
C.縱坐標(biāo)最大
D.縱坐標(biāo)最小


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1.單項(xiàng)選擇題

設(shè)f(x)在(-∞,+∞)二階可導(dǎo),f′(x0)=0。問f(x)還要滿足以下哪個(gè)條件,則f(x0)必是f(x)的最大值()?

A.x=x0是f(x)的唯一駐點(diǎn)
B.x=x0是f(x)的極大值點(diǎn)
C.f″(x)在(-∞,+∞)恒為負(fù)值
D.f″(x0)≠0

2.單項(xiàng)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,+∞)

4.單項(xiàng)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)

5.單項(xiàng)選擇題

點(diǎn)(0,1)是曲線y=ax3+bx+c的拐點(diǎn),則a、b、c的值分別為()

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

6.單項(xiàng)選擇題

過點(diǎn)M0(-1,1)且與曲線2ex-2cosy-1=0上點(diǎn)(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)

7.單項(xiàng)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

8.單項(xiàng)選擇題

設(shè)參數(shù)方程,確定了y是x的函數(shù),f″(t)存在且不為零,則d2y/d2x的值是:()

A.-1/f″(t)
B.1/[f″(t)]2
C.-1/[f″(t)]2
D.1/f″(t)

9.單項(xiàng)選擇題

(x+ex的值是:()

A.e
B.e
C.1
D.2