This function is defined on
.
The function
is the product of the natural logarithm by a monomial, hence it is differentiable on its domain. We have:
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Now let us check the limits of
at the open ends of its domain.
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Does the graph of the function
have an oblique asymptote:
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Now, let us check how the graph looks like near the origin: We have
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Now let us compute the second derivative:
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The graph of
is displayed in Figure 3.
Noah Dana-Picard 2007-12-28