Question

What is the implicit derivative of `13=2xe^(xy)-y`?

Answer 1

`dy/dx=(2e^(xy)+2xye^(xy))/(1-2x^2e^(xy))`

Explanation:

`13=2xe^(xy)-y`

`0=2e^(xy)+2xye^(xy)+2x^2e^(xy) dy/dx-dy/dx`

`dy/dx-2x^2e^(xy) dy/dx=2e^(xy)+2xye^(xy)`

`dy/dx(1-2x^2e^(xy))=2e^(xy)+2xye^(xy)`

`dy/dx=(2e^(xy)+2xye^(xy))/(1-2x^2e^(xy))`