Question

How do you differentiate `cos y +3x^2=6y`?

Answer 1

I got: `(dy)/(dx)=(6x)/(6+sin(y))`

Explanation:

Here we can use implicit differentiation including the term `(dy)/(dx)` when differentiating `y`.

We get:

`-sin(y)(dy)/(dx)+6x=6(dy)/(dx)`

we can collect `(dy)/(dx)` on one side to get:

`(dy)/(dx)=(6x)/(6+sin(y))`