# Math Help - derivative problem -

1. ## derivative problem -

what is the derivative of:
x^(1/2) - (1/(x(x^(1/3)))

thanksss!!!

oh and could you please how work ? thanks i really appreciate it!

i know the first term would be : (1/2)x^(-1/2)
and then you have to use the diff quotient and sum rule for the second part but im not sure i keep getting all mixed up

2. Power rule: $\frac{d}{dx} x^{n} = nx^{n-1}$ for any number n.

So how would you apply this rule here?

3. Do you mean $
x^{1/2} - \left( {\frac{1}
{{x \cdot x^{1/3} }}} \right)
$
?

I will suppose, this is de function

$
f'(x) = \left[ {x^{1/2} - \left( {\frac{1}
{{x^{\frac{1}
{3} + 1} }}} \right)} \right]^\prime = \left( {x^{1/2} } \right)^\prime - \left( {x^{ - \frac{2}
{3}} } \right)^\prime = \frac{1}
{2}x^{\frac{1}
{2} - 1} - \left( { - \frac{2}
{3}x^{ - \frac{2}
{3} - 1} } \right)
$