Results 1 to 4 of 4

Math Help - finding derivative

  1. #1
    Newbie
    Joined
    Sep 2009
    Posts
    23

    finding derivative

    I have no idea what to do with this. I started with log differentiation but ran into a problem when dealing with the arcsin(7^x)

    y=[arcsin(7^x)]^x

    Lny = xLn[arcsin(7^x)] = x (1/arcsin(7^x)) * d/dx (arcsin(7^x)) ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by bgonzal8 View Post
    I have no idea what to do with this. I started with log differentiation but ran into a problem when dealing with the arcsin(7^x)

    y=[arcsin(7^x)]^x

    Lny = xLn[arcsin(7^x)] = x (1/arcsin(7^x)) * d/dx (arcsin(7^x)) ?
    \frac{d}{dx}\arcsin{7^x}=\frac{1}{\sqrt{1-(7^x)^2}}\cdot\frac{d}{dx}[7^x]
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Sep 2009
    Posts
    23
    Oh yeah duh.. then d/dx [a^x] = a^x Ln (a)

    So is this right?
    y = [arcsin(7^x)]^x * [(x/arcsin(7^x))] * [(7^xLn(7))/sqrt(1-(7^x)^2)]
    Follow Math Help Forum on Facebook and Google+

  4. #4
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by bgonzal8 View Post
    Oh yeah duh.. then d/dx [a^x] = a^x Ln (a)

    So is this right?
    y = [arcsin(7^x)]^x * [(x/arcsin(7^x))] * [(7^xLn(7))/sqrt(1-(7^x)^2)]

    Don't forget that you are using logarithmic differentiation.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding the derivative
    Posted in the Calculus Forum
    Replies: 7
    Last Post: May 13th 2010, 02:27 PM
  2. finding the derivative of sin^2(x)
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 3rd 2010, 12:34 AM
  3. finding derivative dy / dx
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 21st 2009, 12:01 PM
  4. finding a derivative
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 13th 2009, 07:59 AM
  5. Finding this derivative
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 3rd 2008, 11:34 AM

Search Tags


/mathhelpforum @mathhelpforum