1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I need to differentiate ln(x^4 sin(x^2) ). Help!

  1. Jan 8, 2008 #1
    1. The problem statement, all variables and given/known data

    need to differentiate:

    f(x) = ln(x^4sinx^2)

    2. Relevant equations

    3. The attempt at a solution

    just use ln 1/x and differentiate the sins and exponents to get whats below.

    would this be the final form?
    f'(x) = 4*(1/x) + 2*(cosx/(sinx)
  2. jcsd
  3. Jan 8, 2008 #2

    Shooting Star

    User Avatar
    Homework Helper


    (Yes, I think he meant sin^2 x, i.e. (sin x)^2.)
    Last edited: Jan 8, 2008
  4. Jan 8, 2008 #3


    User Avatar
    Staff Emeritus
    Science Advisor

    I presume that the first thing you did was use the laws of logarithms to simplify
    [itex]f(x) = ln(x^4sin^2x)[/itex] to [itex]f(x)= 4 ln(x)+ 2 ln(sin(x)). Yes, the derivative is exactly what you say.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: I need to differentiate ln(x^4 sin(x^2) ). Help!