设f(x)连续,且(A为常数).求导数φ'(x),并讨论φ'(x)的连续性.
设f(x)连续,<img src='https://img2.soutiyun.com/ask/2020-12-13/976723404703983.png' />且<img src='https://img2.soutiyun.com/ask/2020-12-13/976723422284988.png' />(A为常数).求导数φ'(x),并讨论φ'(x)的连续性.
时间:2023-08-01 17:05:18
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设f(x),g(x)在[0,1]上的导数连续,且f(0)=0,f′(x)≥0,g′(x)≥0。证明:对任何a∈[O,1],有https://assets.asklib.com/psource/2016030616211474049.jpg
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设连续型随机变量X 的分布函数为F(X)=A+Barctanx,求A和B.
A、A=1 B=0
B、A=B=0.5
C、A=0 B=1
D、A=0.5,B=<img src="/ananas/latex/p/24775">
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设随机变量X的密度函数为Φ(x),且满足Φ(x)=Φ(-x),X的分布函数为F(x),则对任意实数a.F(-a)=().
A.<img src='https://img2.soutiyun.com/ask/2020-10-04/970660847536956.png' />
B.<img src='https://img2.soutiyun.com/ask/2020-10-04/970660856247455.png' />
C.F(a)
D.2F(a)-1
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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f(x)在连续,且满足关系式:,求f(x).
设f(x)在连续,且满足关系式:<img src='https://img2.soutiyun.com/ask/2020-12-20/977331812959016.png' />,求f(x).
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设f(x)具有一阶连续导数,F(x)=f(x)(1+|sinx|),则f(0)=0是F&39;(0)存在的(). (A) 必要但非充分的条件 (
设f(x)具有一阶连续导数,F(x)=f(x)(1+|sinx|),则f(0)=0是F&39;(0)存在的( ).
(A) 必要但非充分的条件 (B) 充分但非必要的条件。
(C) 充分必要条件 (D) 既非充分也非必要条件
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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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设函数f(x)和g(x)在[0,1]上有连续导数,且f(0)=0,f'(x)≥0,g'(x)≥0.证明:对任何a∈[0,1]
设函数f(x)和g(x)在[0,1]上有连续导数,且f(0)=0,f'(x)≥0,g'(x)≥0.证明:对任何a∈[0,1],都有
<img src='https://img2.soutiyun.com/ask/2020-12-13/97672399961901.png' />
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设函数f(x)具有一阶连续倒数.且f(0)=0,fˊ(0)=2,求lim(x→0)f(1-cosx)/tanx²;
是一阶连续导数(上面打错)
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设φ(x)在点α连续,f(x)=|x-α|φ(x),求f-(n)和f+(α),问在什么条件下f(α)存在。
设φ(x)在点α连续,f(x)=|x-α|φ(x),求f-(n)和f+(α),问在什么条件下f(α)存在。
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设随机变量X的密度函数为φ(x),且φ(-x)=φ(x),F(x)为X的分布函数,则对任意实数a,有().
设随机变量X的密度函数为φ(x),且φ(-x)=φ(x),F(x)为X的分布函数,则对任意实数a,有().
<img src='https://img2.soutiyun.com/ask/uploadfile/2160001-2163000/4fc3fa773ba3ff1b4a790c7f86a536e7.jpg' />
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设f(x)对任何x都满足f(x+1)=2f(x),且f(0)=0,f'(0)=C(常数),求f"(1).
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设f(x)在[0,2]上连续,且f(x)+f(2-x)≠0,求
设f(x)在[0,2]上连续,且f(x)+f(2-x)≠0,求
<img src='https://img2.soutiyun.com/ask/2020-12-09/976373200636763.png' />
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设f(x)在[a,b]上连续,且,求 .
设f(x)在[a,b]上连续,且<img src='https://img2.soutiyun.com/ask/2020-11-02/97316922162267.png' />,求<img src='https://img2.soutiyun.com/ask/2020-11-02/973169234274393.png' />.
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设函数其中g(x)有二阶连续导函数,且g(0)=1.(1)确定a的值,使f(x)在点x=0处连续;(2)求f'(x)
设函数<img src='https://img2.soutiyun.com/ask/2020-08-18/96660742963403.png' />其中g(x)有二阶连续导函数,且g(0)=1.
(1)确定a的值,使f(x)在点x=0处连续;
(2)求f'(x);
(3)讨论f'(x)在点x=0处的连续性.
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设函数f(x,y)在(x0,y0)的某邻域内具有连续二阶偏导数,且 则 ()。
设函数f(x,y)在(x0,y0)的某邻域内具有连续二阶偏导数,且<img src='https://img2.soutiyun.com/ask/2019-07-12/931776851413807.png' />,则<img src='https://img2.soutiyun.com/ask/2019-07-12/931776867607056.png' />()。
A.必为f(x,y)的极小值
B.必为f(x,y)的极大值
C.必为f(x,y)的极值
D.不一定是f(x,y)的极值
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设f(x)在[a,b]上连续,f'(x)在(a,b)内是常数,证明f(x)在[a,b]上的表达式为f(x)=Ax+B,其中A,B是常数.
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3、如果f(x)在(a,b)内存在导数为0的一点,那么一定有f(x)在[a,b]上连续,(a,b)内可导,且f(a)=f(b).
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设f(x)为上以2π为周期,且具有二阶连续导数的函数, 记
设f(x)为<img src='https://img2.soutiyun.com/ask/2021-02-02/981112914240121.png' />上以2π为周期,且具有二阶连续导数的函数, 记
<img src='https://img2.soutiyun.com/ask/2021-02-02/981112923970678.png' />
<img src='https://img2.soutiyun.com/ask/2021-02-02/981112932118144.png' />
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设f(x,y)具有连续偏导数,且满足求.
设f(x,y)具有连续偏导数,且满足<img src='https://img2.soutiyun.com/ask/2021-01-10/979124316503936.png' />求<img src='https://img2.soutiyun.com/ask/2021-01-10/979124324709406.png' />.
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设函数f(x)在有限开区间(a,b)内有导数,且
设函数f(x)在有限开区间(a,b)内有导数,且
<img src='https://img2.soutiyun.com/ask/2020-12-12/976648548009352.png' />
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.设函数u=f(x,y,z)有连续偏导数,且是由所确定的隐函数,求du.
.设函数u=f(x,y,z)有连续偏导数,且<img src='https://img2.soutiyun.com/ask/2021-01-02/978463716012693.png' />是由<img src='https://img2.soutiyun.com/ask/2021-01-02/978463730334512.png' />所确定的隐函数,求du.
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(1)求y=Inx+e<sup>x</sup>的反函数x=x(y)的导数;(2)设y=f(x)是x=φ(y)的反函数,且f(2)-4,f(2)=3,f'(4)=1,问φ(4)等于1/3还是1?