What is the derivative of sex^2 2x?

osadczyttq

osadczyttq

Answered question

2023-02-02

What is the derivative of sec 2 2 x ?

Answer & Explanation

Isis Huber

Isis Huber

Beginner2023-02-03Added 7 answers

Explanation is,
Using the chain rule. The first issue is the squared term.
d d x ( u 2 ) = 2 u u
d d x ( sec 2 2 x ) = 2 sec 2 x d d x ( sec 2 x )
Using chain rule again:
d d x ( sec u ) = sec u tan u u
d d x ( sec 2 2 x ) = 2 sec 2 x sec 2 x tan 2 x d d x ( 2 x )
Since d d x ( 2 x ) = 2 ,
d d x ( sec 2 2 x ) = 4 sec 2 2 x tan 2 x
Hence, answer is 4 sec 2 2 x tan 2 x

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