Question: Refer to the function gd(y) = tan 1 (sinh y), called the Gudermannian. In a map of the earth constructed by Mercator projection, points located

Refer to the function gd(y) = tan⁻¹(sinh y), called the Gudermannian. In a map of the earth constructed by Mercator projection, points located y radial units from the equator correspond to points on the globe of latitude gd(y).

Prove that d dy8d(y) = sech y.

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