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Math Help - Critical Points

  1. #1
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    Critical Points

    Find all critical points of g(θ) = eθ cos(θ) in the interval 0 ≤ θ ≤ 2pi and classify them as local minima or maxima.


    θ = (smaller value)


    θ = (larger value)

    need some help please thanks
    Last edited by mathlete; March 25th 2008 at 02:32 PM.
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  2. #2
    Senior Member topher0805's Avatar
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    Is this your equation?

    g(\theta) = e^{\theta}\cdot \cos {\theta}

    First find the derivative. Then find the values of x for which the derivative is equal to 0 or undefined.

    Then use a sign chart to find where the function is increasing/decreasing.

    When the function goes from increasing to decreasing, you have a local maximum and vise versa.
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