Modul
e
11 : Partial derivatives, Chain rules, Implicit differentiation, Gradient, Directional derivatives
Lecture
32 : Chain rules [Section 32.1]
4.
Let
be constants and
where
is differentiable. Show that
5.
Let
where
a differentiable function. Show that
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5
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be constants and 
where 
is differentiable. Show that 
a differentiable function. Show that 
