Derivative of (14x^2)/sqrt(1-x) | Homework Help & Explanation

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Homework Statement



derivative of: (14x^2)/sqrt(1-x)

Homework Equations





The Attempt at a Solution



I am at this point at finding the derivative:

(28x(sqrt(1-x))+((7x^2)/sqrt(1-x))/(1-x)

I am confused about the next step because don't know how it's derived from the previous attempt:

Final solution: (28x-21x^2)/(1-x)^3/2

How is this derived?
 
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for your equation above it should be 28x/sqrt(1-x) + 7x^2/(1-x)^3/2 then go from there..
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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