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moongazer
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find the derivative: Y(x) = 1/sqrt x
please check my answer :)
 2 years ago
 2 years ago
moongazer Group Title
find the derivative: Y(x) = 1/sqrt x please check my answer :)
 2 years ago
 2 years ago

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moongazer Group TitleBest ResponseYou've already chosen the best response.1
dw:1347972647599:dw
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
I used the definition
 2 years ago

m_charron2 Group TitleBest ResponseYou've already chosen the best response.0
Yes, that seems essentially correct. However, I've never seen it written this way. Usually, we group up the Xs, so you'd get this : dw:1347971974141:dw
 2 years ago

m_charron2 Group TitleBest ResponseYou've already chosen the best response.0
or this : dw:1347971995093:dw
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
What is the correct (best) way to right the derivative of a function? isn't it that there should be no radical in the denominator ? that's why I made it that way :)
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
\[\large{\frac{d}{dx}\frac{1}{\sqrt{x}}}\] \[\large{\frac{d}{dx}{\sqrt{x}^{1}}}\] \[\large{\frac{d}{dx}x^{\frac{1}{2}}}\] \[\large{\frac{1}{2\sqrt{x^3}}}\]
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
this is what I did. .. well do you mean by rationalizing? @moongazer
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
yes, do you still need to rationalize it ?
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
If u will then it will look ugly.. let it be in this way
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Yeah, you may rationalize if you need.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Rationalizing beautifies the fraction; it doesn't make it ugly. lol
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
or u can right : \[\large{\frac{1}{2x^{\frac{3}{2}}}}\]
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
lol \[\large{\frac{1\times x^{\frac{3}{2}}}{2x^3}}\]
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
\[\large{\frac{\sqrt{x^3}}{2x^3}}\] @moongazer
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.1
got it @moongazer ?
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
yes, based on your answers, Does it mean that you can write the derivative of a function in anyway you like as long as it doesn't change the meaning of your derivative? it could be in exponential,rationalized, not rationalized or any other forms.
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
@mathslover
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
Thanks :)
 2 years ago

m_charron2 Group TitleBest ResponseYou've already chosen the best response.0
Also, if you choose to keep it simply as \[\frac{ 1 }{ 2x^{3/2} }\] is that it makes it simpler if you need to find its derivative after that (because sometimes, they just love to have you chainderive something)
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
Thanks for the info :)
 2 years ago
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