Find the derivative d d x [ arctan ⁡ ( x 2 + 1 )...

Lexi Mcneil

Lexi Mcneil

Answered

2022-07-23

Find the derivative d d x [ arctan ( x 2 + 1 ) ]
( a r c s e c ( x 2 + 1 ) ) 2 1 2 + x 2 1 1 + ( x 2 + ) 2 2 x 1 + ( x 2 + 1 ) 2

Answer & Explanation

Anaya Gregory

Anaya Gregory

Expert

2022-07-24Added 14 answers

Find the derivative of [ arctan ( x 2 + 1 ) ]
f ( x ) = arctan ( 1 + x 2 ) tan 1 ( 1 + x 2 ) f ( x ) = tan 1 ( 1 + x 2 ) [ diffrenciate both side ] d d x ( f ( x ) ) = d d x ( tan 1 ( 1 + x 2 ) ) { d d x ( tan 1 ( x ) ) 1 1 + x 2 d d x ( x n ) n x ( n 1 ) } f ( x ) = 1 [ 1 + ( 1 + x 2 ) 2 ] d d x ( 1 + x 2 ) { d d x ( c o n s t a n t ) = 0 } f ( x ) 1 ( 0 + 2 x ) 1 + ( 1 + x 2 ) 2 2 x 1 + ( 1 + x 2 ) 2 H e n c e , d d x [ arctan ( 1 + x 2 ) ] 2 x 1 + ( x 2 + 1 ) 2

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