Analyzing an Inverse Trigonometric Graph In Exercises 67-70, analyze and sketch a graph of the function. Identify any relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results.
To Graph: The function and analyze it, also identify any relative extreme, points of inflection, and asymptotes.
The given function is .
General differentiation formulae:
where u and v are two functions.
Points of extrema are given by:
Points of inflection are given by:
Asymptotes are given by:
To graph the function using a Ti-83 calculator, follow the following steps.
Step 1: Press the key in the Ti-83 Calculator, then press key and then then , , then and then .
Step 2: Press the key to draw the function.
Step 3: Press key then then 3 for minima.
Step 4: Press key then then 4 for maxima.
Step 5: Press then again press put the value in L1 and in L2 for point of inflection.
The graph of the equation is,
For the function .
To find the relative extrema put as 0,
Therefore, relative extrema is at
For maxima minima, check the value for
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