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Math Help - Calculus chain rule

  1. #1
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    Calculus chain rule

    I need to verify that this is correct, if not could someone give me a hint as to what I need to do?




    Thanks
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  2. #2
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    Hello, robasc!

    I need to verify that this is correct.

    You used the Product Rule correctly,
    . . but you forgot part of the Chain Rule . . .


    g(\theta) \;=\;\sec\tfrac{\theta}{2}\tan\tfrac{\theta}{2}

    g'(x) \;=\;\sec\tfrac{\theta}{2}\cdot\left(\sec^2\!\tfra  c{\theta}{2}\cdot{\color{blue}\tfrac{1}{2}}\right) + \left(\sec\tfrac{\theta}{2}\tan\tfrac{\theta}{2}\c  dot{\color{blue}\tfrac{1}{2}}\right)\cdot\tan\tfra  c{\theta}{2}\quad\hdots\;\text{ etc.}

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  3. #3
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    oh yes, I forgot about that. Thanks!
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  4. #4
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    Ok, how about this:

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