# Derivative

• Jun 5th 2009, 08:41 PM
dwat
Derivative
$y = \sqrt{5x^6-12}$

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

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

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

Am I doing this right?
• Jun 5th 2009, 08:46 PM
Spec
Yes. You can also check your solutions with this website: Step-by-Step Derivatives
• Jun 5th 2009, 08:53 PM
dwat
Quote:

Originally Posted by Spec
Yes. You can also check your solutions with this website: Step-by-Step Derivatives

Do they support the square root function though? if they do, how would I write it in a language this site will understand?
• Jun 5th 2009, 08:54 PM
Spec
Sqrt[5*x^2-12]