06:11
Essential Calculus Early Transcendentals
(a) Find $y^{\prime}$ by implicit differentiation.
(b) Solve the equation explicitly for $y$ and differentiate to get $y^{\prime}$ in terms of $x .$
(c) Check that your solutions to parts (a) and (b) are consistent by substituting the expression for $y$ into your solution for part (a).
$$9 x^{2}-y^{2}=1$$