## Answer

## Step by step solution

Problem

Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable

The derivative of a sum of two functions is the sum of the derivatives of each function

The derivative of the constant function is equal to zero

Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=6x$ and $g=y$

The derivative of the constant function is equal to zero

Any expression multiplied by $0$ is equal to $0$

The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function

The derivative of the linear function is equal to $1$

The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

Add the values $0$ and $0$

$x+0=x$, where $x$ is any expression