What is the extreme pi/(24)sec^2((pix)/(24)) ?

The extreme pi/(24)sec^2((pix)/(24)) is Minimum(24n, pi/(24))

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extreme pi/(24)sec^2((pix)/(24))

extreme

Minimum (24 n, \frac{π}{24})

Solution steps

Find the critical points:

x = 24 n

Domain of

\frac{π}{24} sec^{2} (\frac{π x}{24}) : 24 n \leq x < 12 + 24 n or 12 + 24 n < x < 24 + 24 n

Find intervals:

Increasing

: 24 n < x < 12 + 24 n,

Decreasing

: 12 + 24 n < x < 24 + 24 n

Plug the extreme point

x = 24 n

into

\frac{π}{24} sec^{2} (\frac{π x}{24}) \Rightarrow y = \frac{π}{24}

Minimum (24 n, \frac{π}{24})

What is the extreme pi/(24)sec^2((pix)/(24)) ?
The extreme pi/(24)sec^2((pix)/(24)) is Minimum(24n, pi/(24))