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Thread: Local Linearization!

  1. March 12th 2008, 11:06 AM #1
    mathlete
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    Local Linearization!

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

    i need help with this bad johnny, i just dont know how to do it
    thanks

    mathlete
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  2. March 12th 2008, 12:03 PM #2
    wingless
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    Local linearization means the tangent line of f(x)=e^{(x^2)} at x=2.

    The line is y=m\cdot x + C, where m is the slope and C is a constant.

    m=f'(x) at x=2. Find C by plugging the point (2,f(2)).
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