how to find total derivative?

i want to find total derivative in MATLAB eq== cos(x) = sin(y)*x the solution should be like this -sin(x) = x*cos(y)*dy/dx + sin(y)

Answer 1

[Adam Barber]

Hey Kanav,

Check out "diff" in the Symbolic Math Toolbox. One thing to note is that for the form you want, you need to explicitly define y as a function of x.

syms x y(x)
diff(cos(x) - sin(y)*x,x)

returns

- sin(y(x)) - sin(x) - x*cos(y(x))*diff(y(x), x)

-Adam

[Kanav Vij]

thanks Adam

Answer 2

[zeeshan shafiq]

>> syms x y

>> f=inline('sin(x)+2*cos(y)','x',' y')

f =

Inline function:

f(x, y) = sin(x)+2*cos(y)

>> derivative=inline(diff(f(x,y),x,y),'x','y')

derivative =

Inline function:

derivative(x,y) = 0.0

>> derivative(2,5)

ans =

0

>>