$\displaystyle y = \sqrt{5x^6-12}$

$\displaystyle y = (5x^6-12)^{1/2}$

$\displaystyle y ' = \frac{1}{2}(5x^6-12)^{-1/2}*30x^5$

$\displaystyle y ' = 30x^5\Big(\frac{1}{2\sqrt{5x^6-12}}\Big)$

Am I doing this right?

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- Jun 5th 2009, 07:41 PMdwatDerivative
$\displaystyle y = \sqrt{5x^6-12}$

$\displaystyle y = (5x^6-12)^{1/2}$

$\displaystyle y ' = \frac{1}{2}(5x^6-12)^{-1/2}*30x^5$

$\displaystyle y ' = 30x^5\Big(\frac{1}{2\sqrt{5x^6-12}}\Big)$

Am I doing this right? - Jun 5th 2009, 07:46 PMSpec
Yes. You can also check your solutions with this website: Step-by-Step Derivatives

- Jun 5th 2009, 07:53 PMdwat
- Jun 5th 2009, 07:54 PMSpec
Sqrt[5*x^2-12]