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I've been solving a few of these problems but I'm stuck on this one, trying to simplify one of the steps.

The problem statement, all variables and given/known data

Find dy/dx of: y = x(x^2 +1)^1/2

Attempt at a solution

y1 = x (1/2)(x^2 + 1)^-1/2 * (2x) + (x^2 +1)^1/2 * 1

I get the the equation above but I have no clue how to simply it. I check the answer manual and found that the next step should be:

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

With that, I can simplify and solve the problem, I just don't know how to get there from my equation.

Could anyone point me in the right direction?

Thanks

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# Homework Help: Derivatives of Rational Powers

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