Problem 4E

$1-4$

(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).

4. $\frac{2}{x}-\frac{1}{y}=4$

 

 

Step-by-Step Solution