Analyzing a Graph In Exercises 69-72, analyze and sketch the graph of the function. Label any relative extrema, points of inflection, and asymptotes.
To graph: The sketch of the function
Given Information:
The provided function is
Graph:
Consider the function,
Evaluate the first derivative of the function, by applying chain rule.
Set the derivative equal to zero to compute the value of x.
Further solve as,
Hence, the critical number is
Now, evaluate the second derivative of the function by applying quotient rule.
Set the second derivative equal to zero, to determine the value of x.
Further solve as,
Substitute
Therefore, the point of inflection is
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