Weak modular Zilber–Pink with derivatives

In unpublished notes Pila proposed a Modular Zilber-Pink with Derivatives (MZPD) conjecture, which is type statement for the modular $j$-function and its derivatives. this article we define D-special varieties, then state prove two functional (differential) analogues of MZPD conjecture those varieties. particular, weak version MZPD. As special case our results, obtain Andr\'e-Oort statement. The main tools used in paper come from (model theoretic) differential algebra complex analytic geometry, Ax-Schanuel theorem derivatives (established by Tsimerman) plays crucial role proofs. proof second also use an Existential Closedness equation $j$-function.