(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
.