It is mandatory (wajib) for all male and female Muslims to recite the takbiraat e tashreeq after every fardhsalah once. Males have to do it in a fairly audible voice.

Sayyidi wa sanadi Mufti Mohammed Taqi Usmani (Allah preserve and protect him) said,

‘In addition it is desirable (mustaheb) that during the first ten days these takbiraat be recited excessively. It is permissible to recite them quietly or aloud.

In our era this has been abandoned. Whereas this recitation has been reported from many Companions of Prophet (Allah be pleased with them). We should act on it.’

‘Our master Mohammed ibn Ali (Imam Baqir, Allah be pleased with him) used to recite it after all supererogatory salah. ‘

Inam al Bari, volume 4, 169