(a)
\The function is
.
Differentiate implicitly each side with respect to
.

Apply chain rule :
.

The derivative of the function with respect to
is 
(b) \ \
\The function is
.
Differentiate implicitly on each side with respect to
.

Apply chain rule :
.

The derivative of the function with respect to
is
.
(a) The derivative of the function with respect to
is 
(b) The derivative of the function with respect to
is
.