Question

writing the equation defining the function in the form $y = f(x)$ usually makes it easier to find the derivative. write the following equation in this form by solving for $y$. $12x^2 + 3y = 3$ $y = \square$ (simplify your answer.)

Explanation:

Step1: Isolate the term with y

Subtract $12x^2$ from both sides.
$3y = 3 - 12x^2$

Step2: Solve for y

Divide both sides by 3.
$y = \frac{3 - 12x^2}{3}$

Step3: Simplify the expression

Split and simplify the fraction.
$y = 1 - 4x^2$

Answer:

$y = 1 - 4x^2$