Question

Implicit Differentiation (help me understand this solution, picture included).

Answer 1

To be more specific with the picture. Why is there a 6 there and a y' out there?

Answer 2

Algebra I - Distributive Property of Multiplication over Addition.

Answer 3

\(Stuff\cdot(1-y') = Stuff - Stuff\cdot y'\)

Answer 4

Absolutely not. You cannot tear apart a function like that.

\(\dfrac{d}{dx}\tan(x-y) = \sec^{2}(x-y)(1-\dfrac{dy}{dx}) = \sec^{2}(x-y)(1)-\sec^{2}(x-y)\dfrac{dy}{dx}\)