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设f′(cosx)=sinx,则f(cosx)等于()
A . -cosx+c
B . cosx+c
C . 1/2(sin2x/2-x)+c
D . 1/2(2sin2x-x)+c
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设f'(lnx)=1+x,则f(x)等于()。
A . ['['https://assets.asklib.com/psource/2015102916402082055.jpg
B .https://assets.asklib.com/psource/2015102916403647994.jpg
C . x+ex+CD .https://assets.asklib.com/psource/2015102916405053542.jpg
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设f(x)=3+2x,则f(f(x)+5)=19+4x。
A . 正确
B . 错误
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设f(x),g(x)∈F[x],则()。
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设函数f(x)=xsinx,则f(x)是().
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设f(x),g(x)∈F[x],则()。
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设fˊ(lnx)=1+x,则f(x)=[ ].
设fˊ(lnx)=1+x,则f(x)=[ ].
<img src='https://img2.soutiyun.com/ask/uploadfile/9084001-9087000/b3fda2ebaf9d2e3b4ab49bb9a0a45f2d.jpg' />
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设连续函数f(x)满足,且f(0)=1,求f(x).
设连续函数f(x)满足<img src='https://img2.soutiyun.com/ask/2021-01-02/978466547476644.png' />,且f(0)=1,求f(x).
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设函数f(x)二阶连续可导,且f(0)=0,f'(0)=1,求
设函数f(x)二阶连续可导,且f(0)=0,f'(0)=1,求<img src='https://img2.soutiyun.com/ask/2020-12-08/976282425721188.png' />
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设f(2x-1)=,求f(x)dx.
设f(2x-1)=<img src='https://img2.soutiyun.com/latex/latex.action' />,求<img src='https://img2.soutiyun.com/latex/latex.action' />f(x)dx.
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设可导,求F(x)=f[φ(x)]的导数
设<img src='https://img2.soutiyun.com/latex/latex.action' />可导,求F(x)=f[φ(x)]的导数
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设二阶可导函数f(x)满足,求f(x).
设二阶可导函数f(x)满足<img src='https://img2.soutiyun.com/latex/latex.action' />,求f(x).
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设f(x)在x=0处连续,且求f(x)和f'(0).
设f(x)在x=0处连续,且
<img src='https://img2.soutiyun.com/ask/2020-12-08/976272453810827.png' />
求f(x)和f'(0).
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设f:A→A,如果f是双射的,则=()。
设f:A→A,如果f是双射的,则<img src='https://img2.soutiyun.com/ask/2020-12-21/977410994912483.jpg' />=()。
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设f(x)有二阶连续导数,f(π)=2,求f(0)。
设f(x)有二阶连续导数,f(π)=2,<img src='https://img2.soutiyun.com/ask/2021-01-13/979408566018361.jpg' />求f(0)。
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设f(x)为连续函数,且f(0)≠0,则=().
设f(x)为连续函数,且f(0)≠0,则<img src='https://img2.soutiyun.com/ask/2020-12-13/976723029730536.png' />=().
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设f(sinx/2)=cosx+1,则f(x)为()
A.2x^2-2
B.2-2x^2
C.1+x^2
D.1-x^2
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设,求f(x)+f(1/x).
设<img src='https://img2.soutiyun.com/ask/2020-12-09/976371587275485.png' />,求f(x)+f(1/x).
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设函数,则f[f(x)]=()。
设函数<img src='https://img2.soutiyun.com/ask/2019-07-04/931089212480356.png' />,则f[f(x)]=()。
A.<img src='https://img2.soutiyun.com/ask/2019-07-04/93108970954593.png' />
B.<img src='https://img2.soutiyun.com/ask/2019-07-04/931095498681592.png' />
C.<img src='https://img2.soutiyun.com/ask/2019-07-04/931095523800468.png' />
D.<img src='https://img2.soutiyun.com/ask/2019-07-04/931095555373498.png' />
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设f(x)=1,f'(0)=a,求下列极限:
设f(x)=1,f'(0)=a,求下列极限:
<img src='https://img2.soutiyun.com/ask/2020-12-08/976272540601791.png' />
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设f(x)=,求f'(x)。
设f(x)=<img src='https://img2.soutiyun.com/ask/2020-12-07/976187786761876.jpg' />,求f'(x)。
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设(f,g)=1,证明(f,f+g)=(g,f+g)=(fg,f+g)=1。
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设函数f(x)连续,求F"(0).
设函数f(x)连续,<img src='https://img2.soutiyun.com/ask/2020-12-15/976873842329293.png' />求F"(0).
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设f'(Inx)=1+x,则f(x)=().
A.<img src='https://img2.soutiyun.com/ask/2020-12-06/976111006962229.png' />
B.<img src='https://img2.soutiyun.com/ask/2020-12-06/976111015211701.png' />
C.<img src='https://img2.soutiyun.com/ask/2020-12-06/976111025904313.png' />
D.<img src='https://img2.soutiyun.com/ask/2020-12-06/976111035919886.png' />