Gudermannian Function The Gudcrmannian function of x is .
(a) Graph g d using a graphing utility.
(b) Show that g d is an odd function.
(c) Show that g d is monotonic and therefore has an inverse.
(d) Find the point of inflection of g d.
(e) Verify that .
To graph: The function with the help of a graphing utility.
The function .
The graph can be obtained using the TI-83 calculator.
Step 1: Press the key.
Step 2: Now move the cursor to the right of Y1, and press [2nd] and then the [TAN] key
To prove: The function is odd.
To prove: The function is invertible by showing it is monotonic.
To calculate: The inflection point of the function .
To prove: The function equals .
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