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IntroAnalysis

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## Homework Statement

Define f(x)=[itex]\sqrt{}(x + (\sqrt{}(x + \sqrt{}x)[/itex]

Determine where f is differentiable and compute the derivative

## Homework Equations

f'(x

_{o})= lim as x approaches x

_{o}(f(x) - f(x

_{o}))/(x - x

_{o})

## The Attempt at a Solution

By the definition, f(x) = [itex]\sqrt{}x[/itex] does not have a derivative at 0, since limit as x approaches zero, x>0, is 1/[itex]\sqrt{}x[/itex], 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.