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Math Help - Another Newton

  1. #1
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    Another Newton

    Use Newton's method to find the coordinates of the inflection point of the curve y = ecos(x),
    0 ≤ x ≤ π , correct to six decimal places.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by sheva2291 View Post
    Use Newton's method to find the coordinates of the inflection point of the curve y = ecos(x),
    0 ≤ x ≤ π , correct to six decimal places.
    Your notation is not clear, but an inflection point is a point at which the curvature changes sign, in practice this means that it is a local extrema of y'.

    CB
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  3. #3
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    Do you mean y= e^{cos x}?

    As Captain Black said, an inflection point occurs at a local extremum of y' which, in turn, mean that y"= 0 (since y" always exists for this function).

    Take the second derivative of this function, set it equal to 0 and use Newton's method to solve the equation.
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