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设函数f(x)可导,且https://assets.asklib.com/source/1472200954275051623.png
,则导数
https://assets.asklib.com/source/1472200963631083937.png
()。
A . ['https://assets.asklib.com/psource/1472200972139061641.png
B .https://assets.asklib.com/psource/1472200979956028850.png
C . xD . -x
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设函数f(x)可导,函数y=f(sinx)的导数不一定存在
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设f(x)为可导函数,求
设f(x)为可导函数,求<img src='https://img2.soutiyun.com/ask/2021-01-12/979336310539956.png' />
<img src='https://img2.soutiyun.com/ask/2021-01-12/979336353004384.png' />
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设函数f(x)有二阶导数,求
设函数f(x)有二阶导数,<img src='https://img2.soutiyun.com/ask/2020-12-12/97664846212744.png' />求<img src='https://img2.soutiyun.com/ask/2020-12-12/976648472201016.png' />
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设f(x)可导,求下列函数的导数(1)y=f(x<sup>2</sup>);(2)y=f(sin<sup>2</sup>x)+f(cos<sup>2</sup>x).
设f(x)可导,求下列函数的导数<img src='https://img2.soutiyun.com/ask/2020-08-05/965495444440789.png' />
(1)y=f(x<sup>2</sup>);(2)y=f(sin<sup>2</sup>x)+f(cos<sup>2</sup>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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f(x)在点x<sub>0</sub>的左导数f'-(x<sub>0</sub>)及右导数f'+(x<sub>0</sub>)都存在且相等是f(x)在点x<sub>0</sub>可导的_______条件.
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已知函数f(x)可导,求的导数.
已知函数f(x)可导,求<img src='https://img2.soutiyun.com/ask/2020-10-28/972718275982508.png' />的导数.
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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.
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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为可微函数,求下列函数的偏导数:(1)u=f(x<sup>2</sup>-y<sup>2</sup>,e<sup>xy</sup>);(2)u=f(x<sup>2</sup>+y<sup>2</sup>+z<sup>2</sup>);(3)u=f(x,xy,xyz)。
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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f"(x)存在,求下列函数的二阶导数;(1) y=f(x<sup>2</sup>);(2)y=ln[f(x)].
设f"(x)存在,求下列函数的二阶导数<img src='https://img2.soutiyun.com/ask/2020-11-10/973871310253584.png' />;
(1) y=f(x<sup>2</sup>);(2)y=ln[f(x)].
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y=y(x)由方程y=f(x+y)确定,且f二阶可导,一阶导数不为1,求.
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设φ:R→R二阶可导,且有稳定点;f:Rn→R,且f(x)=φ(a·x),a,...
设φ:R→R二阶可导,且有稳定点;f:R<sup>n</sup>→R,且f(x)=φ(a·x),a,x∈R<sup>n</sup>,a≠0.
(1) 试求f的所有稳定点;
(2) 证明f的所有稳定点都是退化的,即在这些稳定点处,f"(x)是退化矩阵(即在稳定点处detf"(x)=0).
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设,其中f具有连续偏导数,g可导,求.
设<img src='https://img2.soutiyun.com/ask/2020-11-02/973192351945649.png' />,其中f具有连续偏导数,g可导,求<img src='https://img2.soutiyun.com/ask/2020-11-02/973192369901676.png' />.
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设f:I→R是任一函数,x<sub>0</sub>∈I,证明f(x)在x<sub>0</sub>处可导的充要条件是:存在一个函数φ:I→R,使.
设f:I→R是任一函数,x<sub>0</sub>∈I,证明f(x)在x<sub>0</sub>处可导的充要条件是:存在一个函数φ:I→R,使.
<img src='https://img2.soutiyun.com/ask/2020-12-19/977254470435024.png' />
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如果函数f(x)在点x处具有n阶导数,那么函数f(x)在点x的某一邻域内必定n-1阶可导。()
此题为判断题(对,错)。
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设f(x)的各阶导数存在,求y"及y"';
设f(x)的各阶导数存在,求y"及y"';
<img src='https://img2.soutiyun.com/ask/2021-01-22/98015818629391.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?