How take derivative d/dt(sinx), but have result be cosx * d/dt(x) ?

Hello. I'd like to take a derivative of a function, sin(x). I have defined xDot as a symbol (the temporal derivative of x).

However, when I take d/dt (sinx) through

diff(sin(x), t, 1)

, I get 0. I want to have the returned expression be cos(x)*d/dt(x). How can I do this?

Answer 1

[Steven Lord]

Tell MATLAB x is a function of t.

syms t x(t)
d = diff(sin(x), t)

d(t) = 

[Justin Burzachiello]

Great. Thank you, Steven.