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Emanuel Keith

Emanuel Keith

Answered question

2022-06-25

f ( x ) = 0 sin x 1 + sin ( sin ( t ) ) d t
Find ( f 1 ) ( 0 )

Answer & Explanation

Blaze Frank

Blaze Frank

Beginner2022-06-26Added 18 answers

f ( f 1 ( x ) ) = x f ( f 1 ( x ) ) ( f 1 ( x ) ) = 1 ( f r o m   C h a i n   R u l e ) ( f 1 ( x ) ) = 1 f ( f 1 ( x ) ) ( f 1 ( 0 ) = 1 f ( f 1 ( 0 ) ) N o w ,   f r o m   t h e   o r i g i n a l   e q n , f ( x ) = 0 s i n x ( 1 + s i n ( s i n t ) ) d t f ( x ) = 1 + s i n ( s i n ( s i n ( x ) ) c o s x ( f r o m   L e i b n i t z   f o r m u l a ) L e t   f 1 ( 0 ) = y t h e n   f ( y ) = 0 ,   s o   y = 0
Just find f'(0) and then you are done.

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