Given: `G(y)=ln((2y+1)^5/sqrt(y^2+1))`

Rewrite the equation using the Law of Logarithms. Then find the derivative of the function.

`G(y)=5ln(2y+1)-(1)/(2)ln(y^2+1)`

`G'(y)=(5)/(2y+1)(2)-(1)/(2(y^2+1))(2y)`

The derivative is: `G'(y)=(10)/(2y+1)-(y)/(y^2+1)`

``

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now