college Calculus problem

Mathematics
Tutor: None Selected Time limit: 1 Day

i am stuck on problem 28. here is a pic of the problem

http://imgur.com/Sp5PsOF

please include all work/steps in the answer

thanks in advance

Jan 25th, 2015

The first thing you want to do is to convert the radicals into rational exponents, which gives you d/dx (x^(1/3) + 4x^(-1/2)). Then you can use the power rule on both of the terms to get (1/3)x^(-2/3) +4(-1/2)x^(-3/2). That simplifies to be (1/3) x^(-2/3) - 2x^(-3/2).

Jan 25th, 2015

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Jan 25th, 2015
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Jan 25th, 2015
Dec 10th, 2016
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