Pls help me to answer this question for each part with explanation. Thank you

10) LEIBNIZ'S RULE: IF FUNCTIONS AND 9 HAVE no" ORDER DERIVATIVES THEN PROVE ( BY INDUCTION): do ( f -9) = 2 ( @ ) (9) K=a WHERE f = = (f) AND 9 = d (g) (F AND q ARE O- TH DECREE DERIVATIVES) ( THIS IS AN EXTENSION OF THE PRODUCT RULE) (5 MARKS) (6 ) FIND d" (x) cos xx) ( 8 MARKS) ( C) PROVE THAT I f HAS AN n- TH DERIVATIVE, AND M IS A POSITIVE INTEGER THEN M m-k juck ( flax) ) man k=0 ( m - k ) ! 13 m m - k K= o ( on - k ) ! ( APPLYING THE RESULT IN (a ) ) (2 MARKS) / 10