Question

What is the derivative of `e^(2xy)`?

Answer 1

`d/dx(e^(2xy))` or `d/dt(e^(2xy))`

Explanation:

With respect to `x`
`d/dx(e^(2xy)) = (e^(2xy)) d/dx(2xy)`

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

With respect to `t`
`d/dt(e^(2xy)) = (e^(2xy)) d/dt(2xy)`

`= (e^(2xy)) (2ydx/dt + 2x dy/dx)`