Question

Derivada $Y= (\frac{x}{x+1} ) ^{10}$

Answer 1

Y = (x/x+1)^10 

Y' = 10.(x/x+1)^9 . (x/x+1)'

Y' = 10.(x/x+1)^9 . [x'.(x+1) - x . (x+1)']/(x+1)^2

Y' = 10.(x/x+1)^9 . [(x+1) - x]/(x+1)^2

Y' = 10.(x/x+1)^9 . [1/(x+1)^2]

Y' = 10.x^9/(x+1)^11 

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17/10/2016
Sepauto
SSRC
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