Question

How do you differentiate `e^sqrty-xy=6`?

Answer 1

Use implicit differentiation ...

Explanation:

Using implicit differentiation, chain and product rules :

`(e^sqrty)xx(1/2)(y^(-1/2))xxy'-y-xy'=0`

Finally, solve for y'

`y'=y/[(e^sqrty)xx(1/2)(y^(-1/2))-x`

hope that helps