Wednesday

April 1, 2015

April 1, 2015

Posted by **mary** on Thursday, March 15, 2012 at 1:39am.

I won't say the question because I'd like to figure it out myself or try first, but I'm looking for a simpler way to go about this.

I have to find the derivative of h(x)= (x)(x-1)^1/3

I got: h'(x)= (x-1)^1/3 + (1/3)(x)(x-1)^-2/3

I'm looking for a way to combine the two terms, but the cube roots are messing me up and I'm not completely sure how to go about it... been stuck on this for about an hour...

If any one can help me simplify h'(x) and, if you'd like, show me how, that would be amazing!

Thank you for your time.

- calculus-derivatives -
**Steve**, Thursday, March 15, 2012 at 11:47amNot much joy here. You could always factor out the (x-1)^-2/3 to get

(x-1)^-2/3 * (x-1 + x/3)

= (x-1)^-2/3 * (4x/3 -1)

Depending on what comes next, you may want to massage it some.

- calculus-derivatives -
**mary**, Thursday, March 15, 2012 at 12:04pm:D I'm so happy! Never thought to factor that out x) thank you!

**Answer this Question**

**Related Questions**

calculus-derivatives - Hello, please help me. I needed to find the derivative of...

Calculus - Okay so I have a question on my assignment that says: You are given ...

reading - the reason the test questions and answers is up there because its all ...

English - Hello. Please help me understand the sentence: "I took my picture" (...

Business - Hi, I'm studying for a test on Desktop Publishing, and the question I...

math - Okay. so say their is a list of numbers: x y 0 3 1 5 2 7 3 9 4 11 I know ...

MATH STUCK:-( - I am having some difficulties factoring polynomials and I use ...

Lingusitics - Hello everyone!! For these six sentences, I have to explain what ...

Math - Hi everyone, I would like some help with Math.. And I would like help ...

Math ( Percents as Ratios) - Sue receives a test score of 75% on a test with 20 ...