Find the derivative of arctan(x + √(1+x²))

[ApeXX]

Homework Statement

Find the derivative of the function. Simplify if possible.

y = arctan (x + sqrt(1+x^2))

Homework Equations

I know there's something like... y = arctan(x) = ( x = tan(y) )

I'm not sure how to manipulate it...

The Attempt at a Solution

I'm not really sure how to start, any help would be greatly appreciated.

Thanks!

 

[Dick]

You probably know the derivative of arctan. If so, just differentiate it using the chain rule and do some algebra to simplify it.