Struggling with one Algebra step

[nosit]

Hello,

I understand all steps of the derivative rules below and algebraic steps, except one.

I am not understanding how his 2x appears. The derivative of root of x should be 1/2 x^-1/2.

I have the proof of 1/x^-n = x^n and I also know fraction rules, but as I know the rules but I am not used to use them maybe I am not seeing what I am doing wrong.

Could someone give me a help on it?

 

[Deleted member 4993]

Hello,

I understand all steps of the derivative rules below and algebraic steps, except one.

I am not understanding how his 2x appears. The derivative of root of x should be 1/2 x^-1/2.

I have the proof of 1/x^-n = x^n and I also know fraction rules, but as I know the rules but I am not used to use them maybe I am not seeing what I am doing wrong.

Could someone give me a help on it?

View attachment 22421

The author multiplied the "numerator" and the "denominator" by "2*√x" - try it and you'll like it!!

 

[nosit]

I was making it in a harder way, and indeed it was as simple as you told. Thank you for the help!