a.p. calculus

find y' of the functuion in terms of appropriate variable. simplify as far as possible.
y= ln(1+e^2x)^3

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asked by nicole
  1. Can you confirm if it is

    y=ln[(1+e^(2x))^3]

    It never hurts to insert extra parentheses if you do not want unnecessary delay.

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  2. y = ln(1+e^2x)^3
    = 3ln(ln(1+e^2x)

    y' = 3(2e^(2x))/(1 + e^(2x))
    = 6e^(2x) /(1 + e^(2x))

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    posted by Reiny

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