IntroAnalysis
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Homework Statement
Define f(x)=\sqrt{}(x + (\sqrt{}(x + \sqrt{}x)
Determine where f is differentiable and compute the derivative
Homework Equations
f'(xo)= lim as x approaches xo (f(x) - f(xo))/(x - xo)
The Attempt at a Solution
By the definition, f(x) = \sqrt{}x does not have a derivative at 0, since limit as x approaches zero, x>0, is 1/\sqrt{}x, so can't have zero in denominator, not differentiable at 0.
I think above function, because of Algebra of Derivatives would also not be differentiable at zero. I keep ending up with a big mess trying to find it's derivative, I think I'm missing a rule somewhere, any suggestions are welcome.