求F´（t),设

设f(t)为因果信号，已知 f(t)*f&39;(t)=(1-t)e^-tε(t) 求f(t)。

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).

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' />

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).

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' />

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' />

设<img src='https://img2.soutiyun.com/ask/2019-12-17/945413794175174.png' />，求F&39;(x)．

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．

设f(x)是[0，1]上的可测函数，记F(t)为其分布函数，求下列函数在[0，1]上的分布函数： (i)f(x)+c；(ii)cf(x)(c＞0)；(iii)f³(x).

设<img src='https://img2.soutiyun.com/latex/latex.action' />可导，求F(x)=f[φ(x)]的导数

设二阶可导函数f(x)满足<img src='https://img2.soutiyun.com/latex/latex.action' />，求f(x)．

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)。

设<img src='https://img2.soutiyun.com/ask/2020-08-07/965660038068891.png' />其中f的偏导数连续,求<img src='https://img2.soutiyun.com/ask/2020-08-07/965660050357594.png' />

设<img src='https://img2.soutiyun.com/ask/2020-12-09/976371587275485.png' />,求f(x)+f(1/x).

设<img src='https://img2.soutiyun.com/ask/2020-12-03/975873855334235.png' />f(x)=k,求<img src='https://img2.soutiyun.com/ask/2020-12-03/975873867939956.png' />.

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' />

设f(x)=1,f'(0)=a,求下列极限: <img src='https://img2.soutiyun.com/ask/2020-12-08/976272540601791.png' />

设f(x)=<img src='https://img2.soutiyun.com/ask/2020-12-07/976187786761876.jpg' />，求f'(x)。

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' />.

设函数f(x)连续，<img src='https://img2.soutiyun.com/ask/2020-12-15/976873842329293.png' />求F"(0).

设f(x,y)=<img src='https://img2.soutiyun.com/ask/2021-01-10/979126807382406.png' />求<img src='https://img2.soutiyun.com/ask/2021-01-10/97912681530886.png' />

设函数f(x,y)连续,<img src='https://img2.soutiyun.com/ask/2020-11-14/97418931389292.png' />其中R:z²+y²≤t²,求F´(t).

设f(u)可微，且f(0)=0。求<img src='https://img2.soutiyun.com/ask/2020-12-08/976287573353616.jpg' />，其中Ω：x²+y²+z²≤t²。