# Find the derivative of x^3+y^3=xy*6-1

## Answer

$3x^{2}=6y$

## Step-by-step explanation

Problem

$\frac{d}{dx}\left(x^3+y^3=6x\cdot y-1\right)$

1

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

$\frac{d}{dx}\left(y^3+x^3\right)=\frac{d}{dx}\left(6y\cdot x-1\right)$

## Answer

$3x^{2}=6y$