wrekt95
contestada

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′=

Respuesta :

altavistard

Answer:

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

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