Derivative of arctangent function shown below

Can any one help what the derivative of

with respect to ψand θ would look like?

Thank you

Answer 1

[KSSV]

syms phi psi theta c  s 

eqn = phi-atan(s*psi*c*theta/(c*psi+c*theta)) ;
d1 = diff(eqn,psi)    % derivative wrt psi 
d2 = diff(eqn,theta)       % derivative wrt theta