Results 1 to 2 of 2

Math Help - using the chain rule on for trigonometric functions

  1. #1
    Senior Member
    Joined
    May 2012
    From
    Toronto
    Posts
    258
    Thanks
    1

    using the chain rule on for trigonometric functions

    using the chain rule on for trigonometric functions-picture-15.png

    i have little to no idea what's going on here after the first step. Can someone explain? Im not sure what to ask beyond that.

    thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,835
    Thanks
    1604

    Re: using the chain rule on for trigonometric functions

    Quote Originally Posted by kingsolomonsgrave View Post
    Click image for larger version. 

Name:	Picture 15.png 
Views:	6 
Size:	15.8 KB 
ID:	25329

    i have little to no idea what's going on here after the first step. Can someone explain? Im not sure what to ask beyond that.

    thanks
    The first step was to let \displaystyle \begin{align*} u = \csc{x} + \tan^2{2x} \end{align*} so that \displaystyle \begin{align*} f = \sin{u} \end{align*}. Then \displaystyle \begin{align*} \frac{df}{dx} = \frac{df}{du} \cdot \frac{du}{dx} \end{align*}. Finding \displaystyle \begin{align*} \frac{df}{du}  \end{align*} is easy. In this case, \displaystyle \begin{align*} \frac{du}{dx} \end{align*} is not so easy, you have to use the Chain Rule again. See how you go.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Chain rule using trig functions
    Posted in the Calculus Forum
    Replies: 4
    Last Post: May 27th 2012, 11:42 AM
  2. Replies: 7
    Last Post: August 12th 2009, 05:41 PM
  3. the chain rule using trigonometric functions
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 27th 2009, 08:51 PM
  4. functions using chain rule
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 9th 2008, 01:15 PM
  5. Chain rule w/ trigonometric function help
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 28th 2006, 05:26 AM

Search Tags


/mathhelpforum @mathhelpforum