Need help with logarithmic differentitation I have the expression y = <msqrt>

veneciasp

veneciasp

Answered question

2022-07-14

Need help with logarithmic differentitation
I have the expression
y = x 2 ( x + 1 ) ( x + 2 ) .
I have tried looking at videos but I still cannot arrive at the correct answer and don't know how to get there.
By the way, the correct answer is
y = 4 x 2 + 9 x + 4 2 ( x + 1 ) ( x + 2 ) .
Please, help.

Answer & Explanation

Ordettyreomqu

Ordettyreomqu

Beginner2022-07-15Added 22 answers

y = x 2 ( x + 1 ) ( x + 2 )
ln y = ln x + 1 2 ln ( x + 1 ) + 1 2 ln ( x + 2 )
y y = 1 x + 1 2 1 x + 1 + 1 2 1 x + 2
y = x ( x + 1 ) ( x + 2 ) ( 1 x + 1 2 1 x + 1 + 1 2 1 x + 2 ) = x ( x + 1 ) ( x + 2 ) ( 4 x 2 + 9 x + 4 2 x ( x + 1 ) ( x + 2 ) )
which I believe works out to your answer.

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