How can I do implicit differentiation

Hello,

I have this quastion and I need to do it by matlab. If anyone could help me please with it.

Find dy/dx by implicit differentiation.

tan^-1 (x^2y)=x+xy^2

Answer 1

[madhan ravi]

syms y(x)

https://in.mathworks.com/help/symbolic/diff.html

[zahra alramadhan]

sorry that's not clear

Answer 2

[Star Strider]

I can find no documentation that it is possible in MATLAB (as much as I like it).

See this Wolfram Alpha page for the correct solution.

Answer 3

[Walter Roberson]

Example

syms y(x) DY
eqn = acot(x^2+x*y) - asin(x+y) == y^3-x;
dy = diff(y);
deqn = diff(eqn,x);
Deqn = subs(deqn, dy, DY);
DYsol = simplify( solve(Deqn, DY) );
disp(DY == DYsol)