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Find Local Maxima & Minima: At the end, put critical point values in the original equation one by one to determine the local maxima and minima of the function. But by commencing to our best

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For local maximum and/or local minimum, we should choose neighbor points of critical points, for x 1 = − 1, we choose two points, − 2 and − 0, and after we insert into first equation: f ( − 2) = 4 f

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To find local maximum or minimum, first, the first derivative of the function needs to be found. Values of x which makes the first derivative equal to 0 are critical points. If the

Obtain the function values (in other words, the heights) of these two local extrema by plugging the x- values into the original function. Thus, the local max is located at (–2, 64)

Local maximum at x = -2 : f(-2) = 2(-2) 3 + 3(-2) 2 −12(-2) f(-2) = 2(-8) + 3(4) + 24. f(-2) = -16 + 12 + 24. f(-2) = 20. f'(x) changes from negative to positive when it passes through x = -2, so it has

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The local maximum is found by differentiating the function and finding the turning points at which the slope is zero. Further, these turning points can be checked through different

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