The equation is $\"\"$ .

Implicit differentiation:

$\"\"$ .

Differentiate on each side with respect to $\"\"$ .

$\"\"$

$\"\"$ .

Graph:

Graph the equation $\"\"$ .

Whenever we plot the equation, we view can view nothing. \ \

Consider $\"\"$ .

$\"\"$

Consider the first term in above expression $\"\"$ .

since it is a square term so it is always a non negative value.

consider the second term $\"\"$ .

It is also a positive value since it contains square term with addition of one.

Hence the sum of first and second terms remains positive value only and it cannot be zero.

Graph the derivative function $\"\"$ .

$\"\"$

(a) $\"\"$ .