(a)
\The equation is .
Solve for in terms of
.
Divide each side by .
The two explicit functions are and
.
(b)
\Graph:
\Graph the two explicit functions are and
.
.
(c) Find derivative of explicit functions.
\Apply derivative on each side with respect to .
Substitute .
Derivative of explicit functions is .
(d)
\Find derivative of the equation.
\The function is .
Apply derivative on each side with respect to .
Derivative of the equation is .
(a) Two explicit functions are and
.
(b)
\Graph:
\Graph the two explicit functions are and
.
.
(c) Derivative of explicit functions is .
(d) Derivative of the equation is .