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Logarithmic differentiation

  1. Apr 21, 2008 #1
    1. The problem statement, all variables and given/known data
    if g(t)=(10^t)(log....t) then evaluate g'(10)
    ........................10 <---------(my attempt at a log base 10)

    2. Relevant equations

    im completely lost...i dont know if i should take the ln of both sides...or what to do really.

    3. The attempt at a solution
  2. jcsd
  3. Apr 22, 2008 #2
    [tex]g(t)=10^t\log t[/tex]

    Naw don't take log of both sides, just differentiate from the get go :)

    [tex]\frac{d}{dx}a^x=a^x\log a[/tex]

    Don't forget the Product rule.
    Last edited: Apr 22, 2008
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