Logarithmic differentiation

  • Thread starter banfill_89
  • Start date
  • #1
banfill_89
47
0

Homework Statement


if g(t)=(10^t)(log...t) then evaluate g'(10)
......10 <---------(my attempt at a log base 10)

Homework Equations



im completely lost...i don't know if i should take the ln of both sides...or what to do really.

The Attempt at a Solution

 

Answers and Replies

  • #2
rocomath
1,755
1
[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.
 
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