- #1

- 67

- 0

## Homework Statement

hey guys, got a question. how do ya differentiate y=ln(1+x^2)^1/2. any help would be appreciated, thanks

## Homework Equations

answer is x/(1+x^2)

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter geffman1
- Start date

- #1

- 67

- 0

hey guys, got a question. how do ya differentiate y=ln(1+x^2)^1/2. any help would be appreciated, thanks

answer is x/(1+x^2)

- #2

Mark44

Mentor

- 36,042

- 7,975

Power rule and chain rule.

- #3

Cyosis

Homework Helper

- 1,495

- 0

To get the answer you have listed your function must be [itex]\ln \sqrt{1+x^2}[/itex] and not [itex]\sqrt{\ln(1+x^2)}[/itex]. You can write [itex]\ln \sqrt{1+x^2}=\frac{1}{2}\ln (1+x^2)[/itex], perhaps this form is less intimidating?

- #4

- 67

- 0

so the 1/2 just stays out the front without it being differentiate, i thought it dissapeared? thanks for the replys

- #5

Hurkyl

Staff Emeritus

Science Advisor

Gold Member

- 14,950

- 19

Go check your rules of differentiation again....

Share:

- Replies
- 14

- Views
- 7K