设 f(x,y)=∫0积到√xy〖e^(〖-2t〗^2 ) dt(x>0,y>0) 〗,求df(x,y)设z=f(x,y)的偏导数在开区间D内存在且有界,证明z=f(x,y)在D内连续
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![设 f(x,y)=∫0积到√xy〖e^(〖-2t〗^2 ) dt(x>0,y>0) 〗,求df(x,y)设z=f(x,y)的偏导数在开区间D内存在且有界,证明z=f(x,y)在D内连续](/uploads/image/z/7217710-70-0.jpg?t=%E8%AE%BE+f%28x%2Cy%29%3D%E2%88%AB0%E7%A7%AF%E5%88%B0%E2%88%9Axy%E3%80%96e%5E%28%E3%80%96-2t%E3%80%97%5E2+%29+dt%28x%3E0%2Cy%3E0%29+%E3%80%97%2C%E6%B1%82df%28x%2Cy%29%E8%AE%BEz%3Df%28x%2Cy%29%E7%9A%84%E5%81%8F%E5%AF%BC%E6%95%B0%E5%9C%A8%E5%BC%80%E5%8C%BA%E9%97%B4D%E5%86%85%E5%AD%98%E5%9C%A8%E4%B8%94%E6%9C%89%E7%95%8C%2C%E8%AF%81%E6%98%8Ez%3Df%EF%BC%88x%2Cy%EF%BC%89%E5%9C%A8D%E5%86%85%E8%BF%9E%E7%BB%AD)
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设 f(x,y)=∫0积到√xy〖e^(〖-2t〗^2 ) dt(x>0,y>0) 〗,求df(x,y)设z=f(x,y)的偏导数在开区间D内存在且有界,证明z=f(x,y)在D内连续
设 f(x,y)=∫0积到√xy〖e^(〖-2t〗^2 ) dt(x>0,y>0) 〗,求df(x,y)
设z=f(x,y)的偏导数在开区间D内存在且有界,证明z=f(x,y)在D内连续
设 f(x,y)=∫0积到√xy〖e^(〖-2t〗^2 ) dt(x>0,y>0) 〗,求df(x,y)设z=f(x,y)的偏导数在开区间D内存在且有界,证明z=f(x,y)在D内连续
1、被积函数就是e^(4t^2)?
df(x,y)=af/ax*dx+af/ay*dy
=0.5e^(4xy)根号(y/x)dx+0.5e^(4xy)根号(x/y)dy.
2、任意取定(a,b),|f(a+dx,b+dy)--f(a,b)|
设 f(x,y)=∫0积到√xy〖e^(〖-2t〗^2 ) dt(x>0,y>0) 〗,求df(x,y)设z=f(x,y)的偏导数在开区间D内存在且有界,证明z=f(x,y)在D内连续
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