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Math Help - Problem (differentiation chapter)

  1. #1
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    Exclamation Problem (differentiation chapter)

    (i) Sketch the curve y = exp(-x^2).

    (ii) Show that the minimum distance of a point on the curve from the origin is [(1+ln2) / 2]^0.5.

    NO IDEA

    Thanks in advance for any help.
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  2. #2
    MHF Contributor
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    Quote Originally Posted by yobacul View Post
    (i) Sketch the curve y = exp(-x^2).

    (ii) Show that the minimum distance of a point on the curve from the origin is [(1+ln2) / 2]^0.5.

    NO IDEA

    Thanks in advance for any help.
    Hi

    A point M(x,y) is on the curve iff y = e^{-x^2}

    The distance between M and the origin is OM = \sqrt{x^2 + y^2}
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