Question

Use implicit differentiation to find d^2y/dx^2.

y2 - x2 = 2

Answer 1

First, apply the derivative operator (d/dx) to (y^2 - x^2 = 2).
The result should have three terms. Simplify it as much as possible. Be careful to identify the types of functions this result contains. For example, do you see a product? quotient? constant? constant coefficient?
Then apply the derivative operator again to this result. Simplify and solve for y''(x) (the second derivative).