Results 1 to 6 of 6

Math Help - Differentiate (x^2+1)^sinx

  1. #1
    Junior Member
    Joined
    Jan 2010
    Posts
    50

    Question Differentiate (x^2+1)^sinx

    f(x)=(x^2+1)^sinx
    f'(x)=?

    I know how to apply the chain rule, so my question really is how do I differentiate u^sinx?

    Thanks, feyomi.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member General's Avatar
    Joined
    Jan 2010
    From
    Kuwait
    Posts
    562
    By using the logarithmic differentiation.
    Do you know it ?
    If no, Where did you see this problem ?
    Or is it from your mind ?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jan 2010
    Posts
    50
    Quote Originally Posted by General View Post
    By using the logarithmic differentiation.
    Do you know it ?
    If no, Where did you see this problem ?
    Or is it from your mind ?
    It's been a while since I've had to solve anything this way, I can't remember..
    This is a problem on a past exam paper for Level One Calculus for Uni.
    I have an exam on 20th, I've solved everything on the paper except this.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member General's Avatar
    Joined
    Jan 2010
    From
    Kuwait
    Posts
    562
    Quote Originally Posted by feyomi View Post
    It's been a while since I've had to solve anything this way, I can't remember..
    This is a problem on a past exam paper for Level One Calculus for Uni.
    I have an exam on 20th, I've solved everything on the paper except this.
    Let y=(x^2+1)^{sinx}
    take the natural logarithmic of both sides.
     ln(y) = (sinx) ln(x^2+1)
    Now differentiate both sides with respect to x.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Jan 2010
    Posts
    50
    Right gotcha.
    If y = ln(x)
    Does y' = 1/x ?
    I can solve it now (if I remembered that right)
    Thanks
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Super Member General's Avatar
    Joined
    Jan 2010
    From
    Kuwait
    Posts
    562
    Quote Originally Posted by feyomi View Post
    Right gotcha.
    If y = ln(x)
    Does y' = 1/x ?
    I can solve it now (if I remembered that right)
    Thanks
    Yes. You are correct.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. ((1+sinx+icosx)/(1+sinx-icos))^n
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: November 28th 2011, 08:06 PM
  2. Replies: 1
    Last Post: March 25th 2011, 01:27 AM
  3. How can you differentiate sinx.cosy.cosz?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: August 16th 2010, 06:50 AM
  4. Integral of Ln(Sinx)/Sinx
    Posted in the Calculus Forum
    Replies: 7
    Last Post: January 11th 2010, 03:18 AM
  5. find y' if y=(sinx)^2 + 2^(sinx)
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 23rd 2009, 06:00 PM

Search Tags


/mathhelpforum @mathhelpforum