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甘肃开放大学高等数学
设f(0)=0且极限limx→0f(x)/x存在,则limx→0f(x)/x=

<img src="data:image/png;base64,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" >

A.


B.


C.


D.
0

设f(x)在x0可导,则limh→0f(x0-3h)-f(x0)/3h=
<img src="data:image/png;base64,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" >

设函数f(x)=x^2,则limx→2f(x)-f(2)/x-2

<img src="data:image/png;base64,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" >

A.
2x

B.
2

C.
1

D.
4

设f(x)=x(x-1)(x-2)...(x-99),则f.(0)=
A.
99

B.
-99

C.
99!

D.
-99!

若函数f(x)在点x0处可导,则下列结论中错误的是
<img src="data:image/png;base64,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" >

若函数f(x)在点x0处可导,则下列结论中错误的是
A.函数f(x)在点x0处有定义
Blimx→x0f(x)=A,但A=/f(x0)
C函数f(x)在点x0处连续
D函数f(x)在点x0处可微

若函数f(x)满足条件(),且(a)=f(b),则存在ξ∈ (a,b),使得f.(ξ)=0
A.在(a,b)内连续
B.在(a,b)内可导
C.在(a,b)内连续且可导
D.在[a,b]内连续,在(a,b)内可导

下列结论中(  )不正确.

<img src="data:image/png;base64,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
" >

下列结论中(  )不正确.
A.f(x)在x=x0处连续,则一定在x0处可微
B.f(x)在x=x0处不连续,则一定在x0处不可导
C.可导函数的极值点一定发生在其驻点上
D.若f(x)在[a,b]内恒有f.(x)<0,则f(x)在[a,b]内是单调下降

设f(x)在(a,b)内有连续的二阶导数,x0∈(a,b),若f(x)满足(),则f(x)在x0取到极大值
A.f.(x0)>0,f..(x0)=0
B.f.(x0)<0,f..(x0)=0
C.f.(x0)=0,f..(x0)>0
D.f.(x0)=0,f..(x0)<0

设f(x)在(a,b)内有连续的二阶导数,且f.(x)<0,f..(x)<0,则f(x)在此区间内是
A.
单调减少且是凸的

B.
单调减少且是凹的

C.
单调增加且是凸的

D.
单调增加且是凹的

设y=x^3lnx,则dy=
A.(x^2lnx+x^2)dx
B.(3x^2lnx+x^2)dx
C.3x^2lnxdx
D.3x^2lnx+x^2

若函数f(x)在[a,b]内恒有f.(x)在[a,b]的最大值是f(b)
A.对
B.错

设f(x)={x^2sin1/x,x=/0,0,x=0,则f.(0)=1
<img src="data:image/png;base64,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
" >

A.对
B.错

若函数f(x+3)=x^2+6x-5,则f.(x)=2x-14
A.对
B.错