Results 1 to 4 of 4

Math Help - differentiation

  1. #1
    Senior Member furor celtica's Avatar
    Joined
    May 2009
    Posts
    271

    differentiation

    im supposed to diffrentiate 10^3x
    i figured it was 3(10^(3x-1)) but apparently that is incorrect. why is that?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,673
    Thanks
    1618
    Awards
    1
    Quote Originally Posted by furor celtica View Post
    im supposed to diffrentiate 10^3x
    i figured it was 3(10^(3x-1)) but apparently that is incorrect. why is that?
    If b>0~,~f(x) is a differentiable function and y=b^{f(x)} then y'=f'(x)b^{f(x)}ln(b).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member furor celtica's Avatar
    Joined
    May 2009
    Posts
    271
    i did not learn that formula! what happened to good ol' if f(x)= x^b then f'(x)=bx^(b-1)? can you show the proof to the formula that you used?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    May 2009
    From
    New Delhi
    Posts
    153
    use formula
     \frac{d}{dx}(a^x) = a^x\ log \ a
     \frac{d}{dx}(10^{3x}) = \frac{d}{dx}(1000^x) =1000^x\ log \ 1000
    \ =1000^x \ 3 \log10 =3\times 10^{3x}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: July 26th 2010, 05:24 PM
  2. Differentiation and partial differentiation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 30th 2010, 10:16 PM
  3. Differentiation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 4th 2010, 10:45 AM
  4. Differentiation Help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 25th 2010, 06:20 PM
  5. Differentiation and Implicit Differentiation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 6th 2009, 04:07 AM

Search Tags


/mathhelpforum @mathhelpforum