How do you differentiate ln(1/(x^2+9))?

voluttaio7i7h

voluttaio7i7h

Answered question

2023-03-18

How to differentiate ln ( 1 x 2 + 9 ) ?

Answer & Explanation

Grimbergsk0e8

Grimbergsk0e8

Beginner2023-03-19Added 4 answers

Step 1
As
f ( x ) = ln ( 1 x 2 + 9 ) = ln 1 - ln ( x 2 + 9 ) = 0 - ln ( x 2 + 9 ) = - ln ( x 2 + 9 )
Hence
d f d x = - 1 x 2 + 9 × ( 2 x ) = - 2 x x 2 + 9

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