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Math Help - Differentiation

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    Differentiation

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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by r_maths View Post
    it means the second derivative:

    the symbol for first derivative with respect to x is d/dx, the second derivative is (d/dx)^2 = d^2/(dx)^2
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    So I should differentiate and square my answer :S ?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by r_maths View Post
    So I should differentiate and square my answer :S ?
    no, the square is just notation, you just differentiate twice
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    is up to his old tricks again! Jhevon's Avatar
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    Just thought I'd add another note as to how the notation comes about. why is it squared if it just means we do it twice? here's why.

    as i explained before, d/dx means to find the first derivative with respect to x.

    example, d/dx (x^2) = 2x

    when we find the second derivative, what we do is find the derivative of the first derivative, and so we apply one notation after the other.

    example, find the second derivative of x^2

    d/dx [d/dx (x^2)] = (d/dx)^2 (x^2) = (d^2/(dx)^2) (x^2) = 2

    so you see we applied the derivative twice and hence got the square, since derivative notations possess the property of being able to be manipulated like fractions.
    Last edited by Jhevon; May 10th 2007 at 12:32 PM.
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