Is this function increasing or decreasing
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Is this function increasing or decreasing

[From: ] [author: ] [Date: 11-10-02] [Hit: ]
-The function (assumed real) is defined only for L ≥ 0.Since L ≥ 0, the derivative is positive for all L in the domain. This means the function is everywhere increasing.It has an absolute minimum of 0 at L = 0, and (in the absence of a restriction on the upper value of L) has no maximum; it grows arbitrarily large as L grows arbitrarily large.......
64L^1/4

Please, help me to recognize if is a maximum or a minimum.

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The function (assumed real) is defined only for L ≥ 0.

d/dL(64 L^¼) = ¼ * 64 L^(-¾) = 16 L^(-¾)

Since L ≥ 0, the derivative is positive for all L in the domain. This means the function is everywhere increasing. It has an absolute minimum of 0 at L = 0, and (in the absence of a restriction on the upper value of L) has no maximum; it grows arbitrarily large as L grows arbitrarily large.
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