Starting with x^(1/2) * e^x

i have gotten to g`(x) = x^(1/2)(e^x) + e^x(1/2x^(-1/2))

what would be the next algebraic (sp) step?

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- Feb 12th 2009, 05:30 PMTastyBeverageProduct rule
Starting with x^(1/2) * e^x

i have gotten to g`(x) = x^(1/2)(e^x) + e^x(1/2x^(-1/2))

what would be the next algebraic (sp) step? - Feb 12th 2009, 05:59 PMwytiaz
factor out e^x, perhaps also factor out x^(-1/2)

- Feb 12th 2009, 08:37 PMmollymcf2009

You could also move the $\displaystyle x^{-\frac{1}{2}}$ to the denominator as $\displaystyle \sqrt x$

$\displaystyle \frac{e^x}{2\sqrt x} + e^x\sqrt x$

I guess if you wanted to do more, you could get a common denominator and combine the two. Not sure how far your teacher wants you to take it.