MATLAB: How to get a derivated function df/dt

Question

Hello,

I'm trying to calculate derivate functions like z(t)=cos(x(t))+y(t)^2 and I expect answers like z'(t)=-x'(t)*sin(x(t))+2*y(t)*y'(t).

I probably need to use MuPAD but I don't know the commands and what I've found on 'help' isn't exactrly what I want.

Thanks for your answers!

Answer 1

In R2015a, I get this result:

syms x(t) y(t) z(t)
z(t)=cos(x(t))+y(t)^2;
dzdt = diff(z, t)
dzdt(t) =
2*y(t)*diff(y(t), t) - sin(x(t))*diff(x(t), t)