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Math Help - taylor approximation help

  1. #1
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    taylor approximation help

    Find the second taylor approximation for y=x^(2) .e^(2x)+3
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  2. #2
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    You need to differentiate the function y(x) twice to give y'(x) and y''(x). Then the answer is
    y(x) \approx y(x_0) + (x-x_0)y'(x_0) + \frac{1}{2}(x-x_0)^2y''(x_0)

    If you're having trouble with the differentiation:
    y(x)=x^2e^{2x}+3
    y'(x)=x^2(e^{2x})'+(x^2)'e^{2x}
    and you can finish it from there. The second derivative is really similar to the first.

    Post again if you're still having trouble.
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