Geodesic
On Continuous Functions which are Partially Differentiable Almost Everywhere
Canadian mathematical bulletin, Tome 12 (1969) no. 5, pp. 668-672

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In the theory of surface area one meets situations where a function z = f(x, y) which is defined and continuous on a closed rectangle E, is partially differentiable on E except on a subset of E of Lebesgue measure zero. 
Toralballa, L.V. On Continuous Functions which are Partially Differentiable Almost Everywhere. Canadian mathematical bulletin, Tome 12 (1969) no. 5, pp. 668-672. doi: 10.4153/CMB-1969-086-0
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     author = {Toralballa, L.V.},
     title = {On {Continuous} {Functions} which are {Partially} {Differentiable} {Almost} {Everywhere}},
     journal = {Canadian mathematical bulletin},
     pages = {668--672},
     year = {1969},
     volume = {12},
     number = {5},
     doi = {10.4153/CMB-1969-086-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-086-0/}
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