(4-x^2)^(1/2) + (1/2(4-x^2)^(-1/2)) (-2x)

Stuck on my calculus trying to simplify this algebra *sigh*...

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- Oct 1st 2008, 04:35 PMNotEinsteinSimplification
(4-x^2)^(1/2) + (1/2(4-x^2)^(-1/2)) (-2x)

Stuck on my calculus trying to simplify this algebra *sigh*... - Oct 1st 2008, 04:42 PM11rdc11
Is this what it looks like?

$\displaystyle \sqrt{4-x^2} -\frac{2x}{2\sqrt{4-x^2}}$ - Oct 1st 2008, 04:52 PMNotEinstein
- Oct 1st 2008, 05:11 PM11rdc11
$\displaystyle \sqrt{4-x^2} -\frac{2x}{2\sqrt{4-x^2}}$

1st cancel out the 2

$\displaystyle \sqrt{4-x^2} -\frac{x}{\sqrt{4-x^2}}$

Next find common denominator

$\displaystyle \frac{-x^2 -x+4}{\sqrt{4-x^2}}$

Next rationlize