I am confused with this equation derivation

AI Thread Summary
The discussion centers on a confusion regarding the transformation of a square root into a 3/2 power in an equation. The clarification provided indicates that the 3/2 power results from differentiation, not merely from the square root. The participant acknowledges their misunderstanding, realizing that the variables must be fully differentiated rather than treated separately. This highlights the importance of understanding differentiation rules in mathematical equations. Overall, the exchange emphasizes the need for careful application of differentiation in mathematical derivations.
rickp
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Hello, please take a look at the image below:
http://tinyurl.com/cnz2sut

I am confused as to how that square root transformed into 3/2 power... Isn't it suppose to be 1/2 power if it's a square root?

Thanks
 
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The term on the right with the 3/2 power is the result of the differentiation stated by the term on the left.
 
Ahh of course >.< I can't believe I didn't see that. I thought the variables could become a part of the differential d/dt without differentiating the entire equation... My mathematical mistake! lol
 

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