Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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

    Correct.

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

    HallsofIvy

    User Avatar
    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.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook