What is the derivative of (tan(8x))^2?

witglasjanf

witglasjanf

Answered question

2023-02-26

What is the derivative of ( tan ( 8 x ) ) 2 ?

Answer & Explanation

Dakota George

Dakota George

Beginner2023-02-27Added 9 answers

Answer is = 16 tan ( 8 x ) sec 2 ( 8 x )
Solution: We need
( u n ) = n u n - 1 u
( tan x ) = sec 2 x
The chain rule is used to compute this derivative.
Let y = ( tan ( 8 x ) ) 2
d y d x = 2 tan ( 8 x ) sec 2 ( 8 x ) 8
Hence, = 16 tan ( 8 x ) sec 2 ( 8 x )

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