Find the derivative of y with respect to x.
3y^2–6=x

write your answer as a rational expression in one or both variables (x and y).

y′=

Step-by-step explanation:

Here we have an implicit function, and so we must use implicit differentiation to find dy/dx.

(d/dx)(3y² - 6 = x) results in 6y(dy/dx) - 0 = (dx/dx), or 6y(dy/dx) = 1.

Then the desired derivative is

                   1

(dy/dx) =

                  6y

you would need to know all the numbers that are on there

step-by-step explanation:

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3