Question

What is the Derivative of X*Y using implicit differentiation?

Answer 1

The derivative with respect to what variable?

Answer 2

dx

Answer 3

im fairly sure it is x*dy/dx+y

Answer 4

\[
\begin{split}
\frac{d}{dx} (xy) &= \frac{dx}{dx}y + x\frac{dy}{dx} &\text{ product rule}\\
&= y+x\frac{dy}{dx}

\end{split}
\]

Answer 5

Thanks for your help and double checking my answer