What is the derivative of y=sin(tan 2x)?

Landyn Allison

Landyn Allison

Answered question

2023-03-24

What is the derivative of y = sin ( tan 2 x ) ?

Answer & Explanation

Eden Pacheco

Eden Pacheco

Beginner2023-03-25Added 4 answers

Answer is d y d x = 2 cos ( tan 2 x ) sec 2 2 x
Solution:
Using the chain rule
d d x f ( g ( x ) ) = f g ( x ) . g ( x )
d y d x = cos ( tan 2 x ) d d x ( tan 2 x )
cos ( tan 2 x ) sec 2 2 x d d x ( 2 x )
= cos ( tan 2 x ) sec 2 2 x . 2
d y d x = 2 cos ( tan 2 x ) sec 2 2 x

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