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Calculus question ( Differentiation)

 
 
aenbone
 
Reply Sun 22 Sep, 2013 12:26 pm
I am completely confused about differentiation.
Could any give me some pointers on how to differentiate:
y'= ( √x+ 1/(3 √x))^2
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Kolyo
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Reply Sun 22 Sep, 2013 09:36 pm
@aenbone,
Do you want to differentiate or do you want to find the anti-derivative?

(I only ask because you've already got y' in your expression rather than just y.)

In either case the problem becomes simpler when you expand out the squared term:

y' = x + 2/3 + 1/(9x)
gungasnake
 
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Reply Sun 22 Sep, 2013 09:50 pm
@aenbone,
chain rule, y'' = 2*S * dS/dx where S is the stuff in your outer parens...

treat the fractional and negative exponents the way you'd treat anything else.
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aenbone
 
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Reply Tue 24 Sep, 2013 01:43 pm
@Kolyo,
Thank you very much.
Just what I needed.
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