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

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1