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Math Help - Derivative

  1. #1
    tmd
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    Derivative

    1. If dy/dx = 2xy, then dy/dx =
    (a) 2y
    (b) 2x + 2y
    (c) 2x + 4y
    (d) 2xy + 2y
    (e) 4xy + 2y

    help me thanks ^^
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by tmd View Post
    1. If dy/dx = 2xy, then dy/dx =
    (a) 2y
    (b) 2x + 2y
    (c) 2x + 4y
    (d) 2xy + 2y
    (e) 4xy + 2y

    help me thanks ^^
    It's e).

    dy/dx = 2xy

    d^2y/dx^2 = (d/dx)(2xy) = 2y + 2x(dy/dx)

    But dy/dx = 2xy

    d^2y/dx^2 = 2y + 2x(dy/dx) = 2y + 2x(2xy) = 2y + 4x^2y

    -Dan
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