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Math Help - linearization problem...

  1. #1
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    linearization problem...

    What is the local linearization of e^x^2 near x = 1?

    can someone please help me go about this problem...

    mathaction
    Last edited by mathaction; October 11th 2007 at 07:14 PM. Reason: wrote it wrong first time
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  2. #2
    Senior Member tukeywilliams's Avatar
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    Use  f(x) \approx f(a) + f'(a)(x-a)

    So  f(x) = e^{x^2} and  f'(x) = 2xe^{x^2}

     f(1) = e and  f'(1) = 2e

    So  f(x) \approx e + 2e(x-1)
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