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Chain rule

  1. Oct 7, 2004 #1
    g(x) = (4+csc^2(3x))^2

    this is what i got
    1/2(4+csc^2(3x))^-1/2 * d/dx (4+csc^2(3x)

    g'(x) = 1/2(4+csc(3x))^-1/2 (1+cot3)
    did i go about this correct to get the answer or did i mess it up at the diretive part?

  2. jcsd
  3. Oct 7, 2004 #2
    Is the question g(x) = (4+csc^2(3x))^2 or g(x) = (4+csc^2(3x))^1/2?

    This makes a difference when applying the chain rule.
  4. Oct 7, 2004 #3
    g(x) = (4+csc^2(3x))^1/2?

    it is this one it was orginally the squrt of 4+csc^2(3x) i just attempted to simplify it
  5. Oct 7, 2004 #4
    Yeah, from your work g(x)=(4+csc^2(3x))^2 should be

    g(x)=2(4+csc^2(3x))^1 * d/dx (4+csc^2(3x)) instead of
    g(x)=1/2(4+csc^2(3x))^-1/2 * d/dx (4+csc^2(3x))

    otherwise that last one would have corresponded an original equation written as g(x)=(4+csc^2(3x))^1/2
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