Derivative of E tetra x

[Forehead]

I think there is a fatal problem here. In general, \( \exp(ab) \ne \exp(a) \exp(b) \).

That would do it. The question arises, then: how do you compute E raised to the power of each term in a product individually?

EDIT: I just realized that there can't be a function \( f \) such that \( f(a*b) = \exp(a)\exp(b) \) and \( f(x) = \exp(x) \). Back to the drawing board...