Second derivative of Gaussian function

I would like to be able to get the second derivative of the Gaussian function which can be described as

Gaussian=yo+(A*Const/w*(exp(-log(2)*((X-c)./w).^2)); where Const=sqrt(log(2)/pi)

Can I use the differentiate function for this?

Thanks in advance.

Answer 1

[Andrew Newell]

Sure:

syms yo A w X c
Gaussian=yo+A/w*exp(-((X-c)/w)^2);
diff(Gaussian,w,2)

I have cleaned up some redundancy in your expression.

[Meow]

Should the 3rd line be diff(Gaussian,X,2)?