how to define a variable as a function of another variable in symbolic toolbox

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Hi I am just wondering whether is it possible to do following: define a variable as a function of x
u=f(x)
Then,
d/dx (u*x) = u'x + xu'
u' is first derivative of u w.r.t. x.
Is this possible to do using matlab symbolic toolbox?

Answers (1)

Azzi Abdelmalek
Azzi Abdelmalek on 5 Oct 2014
syms x u
u=cos(x)
y=u*x
out=diff(y,x)
  3 Comments
Star Strider
Star Strider on 6 Oct 2014
You need to set it up correctly:
syms f(x) u(x)
ddx = diff(u*f,x)
>
ddx(x) =
D(f)(x)*u(x) + f(x)*D(u)(x)

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