The question is asking you to use implicit differentiation. Have you covered implicit differentiation? For part (b), you should plug in $x=1$ to the equation to find all values for $y$ that satisfy the equation (you will have an easily solvable quadratic equation). Once you find the two values of $y$ that satisfy the equation, you will have two points to find the derivative.
Please identify specifically where you are having trouble with this problem. I can easily come up with a solution, but it may not address your specific area of concern.
The equation is and you want to determine . Do you know what the derivative of "3x", with respect to x, is? What about the derivative of "2"? To differentiate the term you can use the "product rule" first. . To differentiate , with respect to x, use the chain rule.