Addmaths question(differentiation)

Question

Using quotient rule,differentiate y= (x+1)/sqrt(x).

I fail to get "1/(2sqrt(x)) - 1/(2sqrt(x³))" using quotient rule(but I manage to get it by using product rule).       *sqrt=square root

And is it true that that answer can be factorize even more to (x-1)/(2 x ^ 3/2)  ?

If possible can anyone write out the working to solve this question(using quotient rule) and also show me how to factorize it to (x-1)/(2 x ^ 3/2)? Thanks

Answer 1

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or

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show me how to factorize it to (x-1)/(2 x ^ 3/2)?

Comments

感激不尽！

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如果有选择的话用first derivative会比较好是吗？这些product和quotient有时弄到一团东西，又难simplify又难factorize

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first derivative确实是很快又方便只能用在题目是加和减。但是这些题目乘和除只能用product或者是quotient，product和quotient的条件可以看我之前的回答。product和quotient的题目算简单了，不会再来这里

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ok好的谢谢