Reputation: 187
I have this equation: f(a,b,x)=t0-a+(a^2*(1+((x-x0)^2/b^2)))^0.5
if I want get the first derivative: df(a,b,x)/d(a,b)
for x0,t0
= constant and a,b,x
= array.
is this true if I use this script
> syms f; syms t0; syms x; syms x0; syms
> a; syms b;
>
>
> f=t0-a+(a^2*(1+((x-x0)^2/b^2)))^0.5;
> f_1=diff(f,a)+diff(f,b)
I'm asking because I never get the right plot if I use this method... Any suggestions?
Upvotes: 1
Views: 724
Reputation: 74940
df/d(a,b)
is not equal df/da+df/db
. Rather, it is (df/da)/db
.
In other words, you need to write
f_1=diff(diff(f,a),b);
Upvotes: 1