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Differentiation of Inverse Trig Functions

  • 14-04-2013 4:17pm
    #1
    Cian_
    Closed Accounts Posts: 30 ✭


    Hi guys, just looking for a bit of help with the differentiation of inverse trig functions. Particularly for Tan^-1

    How do you differentiate 6xTan^-1 2x

    I don't have any notes or examples to work from, so not sure where to start.


Comments

  • #2
    TheBody
    Registered Users, Registered Users 2 Posts: 5,633 ✭✭✭TheBody


    Cian_ wrote: »
    Hi guys, just looking for a bit of help with the differentiation of inverse trig functions. Particularly for Tan^-1

    How do you differentiate 6xTan^-1 2x

    I don't have any notes or examples to work from, so not sure where to start.

    Hi there. You are going to need a combination of the product rule and the chain rule.

    The product being (6x) and ([latex]\tan^{-1}(2x)[/latex])

    To differentiate the [latex]\tan^{-1}(2x)[/latex] bit use the chain rule. Let u=2x

    Give it a go and see how you get on.


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