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Derivative of the inverse.

  1. Apr 7, 2005 #1
    F(X) = e^-(x^2)+3x. Find D/DX (F^-1(x)) a x = 1.
    Here's what i did, where is my mistake?
    F(0)=1 therefore F^-1(1)=0
    F'(x)= - 2xe^-(x^2)
    d/dx (f^-1(x)) = 1/ F'(f^-1(x)) = 1/[-2(1)e^(-(1)^2)] = 1/2e^-1 = e / 2
     
  2. jcsd
  3. Apr 7, 2005 #2
    The derivative of F is incorrect.
     
  4. Apr 7, 2005 #3
    -2x* e^(-X^2)
    how is it incorrect?
     
  5. Apr 7, 2005 #4
    The derivative of a sum is the sum of the derivatives. You haven't added the derivative of the second term in your function, F(x) = e-x2 + 3x.
     
  6. Apr 7, 2005 #5

    dextercioby

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    You missed the "+3" part of it.

    Daniel.
     
  7. Apr 7, 2005 #6
    thank you very much
     
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