ricecrispie
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- Aug 27, 2018
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Hi been at this question for a while now, will really appreciate any help!
Differentiate:
f(x) = (x2 + 4x + 6) /x1/2
Differentiate:
f(x) = (x2 + 4x + 6) /x1/2
Hi been at this question for a while now, will really appreciate any help!
Differentiate:
f(x) = (x2 + 4x + 6) /x1/2
Presumably you have tried using the quotient rule; we'll need to see your work in order to be sure what help you need.
I would do it differently. Note that you can distribute the division, dividing each term:
x2/x1/2 + 4x/x1/2 + 6/x1/2
Simplify, then differentiate. Again, please show your work so we can know where, if at all, you are going wrong. The difficulty doing it this way may be to convince yourself that your answer agrees with the book's!
(By the way, thanks for writing the function clearly, parentheses and all!)
good show, Dr Peterson.
It occured to me that from here you could rewrite each term as a product, [and differentiate using the product rule].
i.e. x2(x-1/2 )+ 4x(x-1/2 ) + 6(x-1/2 )
obviously the first two terms can be simplified before differentiating.
I don't offer this as an answer to the original question.
however, it should be insightful to check the product rule soln with the soln by quotient rule.