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

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moongazer
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1347972647599:dw

moongazer
 3 years ago
Best ResponseYou've already chosen the best response.1I used the definition

m_charron2
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, 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

m_charron2
 3 years ago
Best ResponseYou've already chosen the best response.0or this : dw:1347971995093:dw

moongazer
 3 years ago
Best ResponseYou've already chosen the best response.1What 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 :)

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

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

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

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

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

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

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

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

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

moongazer
 3 years ago
Best ResponseYou've already chosen the best response.1yes, 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.

m_charron2
 3 years ago
Best ResponseYou've already chosen the best response.0Also, 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)

moongazer
 3 years ago
Best ResponseYou've already chosen the best response.1Thanks for the info :)
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