If y = ln &#x2061;<!-- ⁡ --> ( <msqrt> 16 &#x2212;<!-- - --> x

Lena Bell

Lena Bell

Answered question

2022-07-09

If y = ln ( 16 x 2 ), then what is d y d x ?

Answer & Explanation

Keegan Barry

Keegan Barry

Beginner2022-07-10Added 18 answers

This is a chain differentiation
y = ln ( u ( x ) )
y = 1 2 ln ( u ( x ) )
d y d x = 1 2 1 u ( x ) u ( x )
y = ln ( 16 x 2 )
y = 1 2 ln ( 16 x 2 )
Therefore,
d y d x = 1 2 1 16 x 2 ( 2 x )
d y d x = x 16 x 2

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