Find derivative of $\frac{x}{\sqrt{x^2 +2}}$ using definition I recognise that the derivative of $\frac{x}{\sqrt{x^2 +2}}$ is given by the expression $\lim_{h\to 0}\frac{\frac{x+h}{\sqrt{(x+h)^2}+2}-\frac{x}{\sqrt{x^2 +2}}}{h}$. But I have trouble proceeding from here. Any kind soul, please help!

we have $$\frac{1}{h}\frac{(x+h)\sqrt{x^2+2}-x\sqrt{(x+h)^2+2}}{\sqrt{(x+h)^2+2}\,\sqrt{x^2+2}}$$
and now multiply numerator and denominator by $$(x+h)\sqrt{(x^2+2)}+x\sqrt{((x+h)^2+2)}$$
can you proceed?
