Modul
e
11 : Partial derivatives, Chain rules, Implicit differentiation, Gradient, Directional derivatives
Lecture
31 : Differentiability [Section 31.2]
(iii)
Answers
(2)
Let
Show that if
is differentiable at
Analyze the continuity of the partial derivatives
and
at
(3)
Let
be both differentiable at a point
Show that the functions
and
are also
differentiable at
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is differentiable at 
Analyze the continuity of the partial derivatives 
and 
at 
be both differentiable at a point 
Show that the functions 
and 
are also 
