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Math Help - Derivative confusion

  1. #1
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    Derivative confusion

    I'm confused....is sec x^2 the same thing as sec^2 x? I was told you rewrite these as sec (x^2) and (sec x)^2, respectively.

    Now I have a problem and I'm unsure how to do it since I don't know the above rule:

    Find the derivative of f(Θ) = secΘ^2

    How would you rewrite this and how would you proceed?
    If I treat it as (secΘ)^2 I get: 2secΘ^2(tanΘ)

    Thanks=]
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  2. #2
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    Quote Originally Posted by janedoe View Post
    I'm confused....is sec x^2 the same thing as sec^2 x? I was told you rewrite these as sec (x^2) and (sec x)^2, respectively.

    Now I have a problem and I'm unsure how to do it since I don't know the above rule:

    Find the derivative of f(Θ) = secΘ^2

    How would you rewrite this and how would you proceed?
    If I treat it as (secΘ)^2 I get: 2secΘ^2(tanΘ)

    Thanks=]
    What you've posted has several interpretations. Ask your instructor which one is intended.
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  3. #3
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    Quote Originally Posted by janedoe View Post
    I'm confused....is sec x^2 the same thing as sec^2 x? I was told you rewrite these as sec (x^2) and (sec x)^2, respectively.

    Now I have a problem and I'm unsure how to do it since I don't know the above rule:

    Find the derivative of f(Θ) = secΘ^2

    How would you rewrite this and how would you proceed?
    If I treat it as (secΘ)^2 I get: 2secΘ^2(tanΘ)

    Thanks=]
    According to math notations, sec x^2=sec(x^2) (squared first, sec second) and sec^2 x=(secx)^2 (sec first, squared second).
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