Originally Posted by

**JeffM** The first answer is correct. As a matter of presentation, however, I'd convert back to radicals.

$\dfrac{1}{2} * x^{-(1/2)} - \dfrac{1}{3} * x^{(-2/3)} = \dfrac{1}{2x^{(1/2)}} -\dfrac{1}{3x^{(2/3)}} = \dfrac{1}{2\sqrt{x}} - \dfrac{1}{3\sqrt[3]{x^2}}.$

As for the second question, I can't figure out where you went of the rails because you do not show your work. You can do this derivative using the product and power rules or using the quotient rule. You need to take another go at this one.

EDIT: While I was writing my previous post, you posted your conversion to radicals. You may need to review that notation.