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

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- Mar 25th 2008, 02:18 PMmathleteCritical 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 - Mar 25th 2008, 03:28 PMtopher0805
Is this your equation?

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

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.