Need help with logarithmic differentitationI have the expression y = x 2 ( x +...

veneciasp

veneciasp

Answered

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

Expert

2022-07-15Added 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.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?