(Relating the theorems of Fubini & Clairaut) If f(x,y) is continuous on [a,b]x[c,d] and g(x,y) = √ √ f(s,t)dt ds a c for a

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(Relating the theorems of Fubini & Clairaut)
If f(x,y) is continuous on
[a,b]x[c,d] and
g(x,y) = √ √ f(s,t)dt ds
a c
for a<x<b, c<y<d, show that 8xy = 8xx = f(x,y)
Transcribed Image Text:(Relating the theorems of Fubini & Clairaut) If f(x,y) is continuous on [a,b]x[c,d] and g(x,y) = √ √ f(s,t)dt ds a c for a<x<b, c<y<d, show that 8xy = 8xx = f(x,y)
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