Solving y=e^nx: What's the Result of d^ny/dx^n?

[ludi_srbin]

The problem says that if y=e^nx, then d^ny/dx^n=?

I got that the result is n^2e^nx, but it is not among the offered choices. Can someone tell what did I mess up? Thanks.

 

[Poop-Loops]

You're not differentiating twice, like you did (n^{2}e^{nx}), but "n" number of times.

 

[ludi_srbin]

You're not differentiating twice, like you did (n^{2}e^{nx}), but "n" number of times.

Oh I see. I guess I shouldn't have assumed that it is a second derivative. Thanks for the help.

 

[HallsofIvy]

Oh I see. I guess I shouldn't have assumed that it is a second derivative. Thanks for the help.

Yes, in general it is a mistake to assume something when you are told differently!