Question

What is the domain and derivative of f(x)=ln(2xsqrt(2+x))?

Answer 1

For domain 2x sqrt(2+x)>0
x>0,2+x>0,x>-2 combining 
we get x>2
f'(x)=[1/{2x sqrt(2+x)}][{2x/(2 sqrt(2+x))}+2 sqrt(2+x)]