How to find the modulus, conjugate and the derivation of a complex number in an analytic form?

clear all

clc

syms a b c d

z=a*b*exp(i*c)

i would like to find the modulus square of z by writing abs(z).^2 , the conjugate " z.' " and the the derivation of z in function of c " dz/dc" in a analytic way

can u guys help me with this code

thank you in advance