# Trouble finding the derivative

raul_l
Hi

I'm having trouble finding the derivative of this function.

$$y=x ln (x+\sqrt{1+x^2})-\sqrt{1+x^2}$$

This is what I've tried so far, but I seem to be getting nowhere.

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Homework Helper
Gold Member
Dearly Missed
Hi raul!
The nasty part of this is, of course the logarithm part, and possibly rearranging the expression you get afterwards.

For starters:
What is the derivative wrt. x of $\sqrt{1+x^{2}}$?

raul_l
$$-\frac{x}{\sqrt{1+x^2}}$$ ?

Homework Helper
Gold Member
Dearly Missed
Why the minus sign??

raul_l
Right, no minus sign there.. my bad.

However, now I get $$\ln(x+\sqrt{1+x^2})$$
Is this correct?

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