A-level - How to differentiate e^x where x is more complicated?

For exampe: e^{4x^3}
The way to look at this is, the differential of e^{4x^3} = the expression itself (e^{4x^3} ) multiplied by the differential of whatever e is to the power of.In this example the differential of e^{4x^3} = e^{4x^3} x d(4x³)/dx = e^{4x^3} x 12x³ = 12x³e^{4x^3}Will be able to lay it out more quickly when i get a writing tablet.