Question
Show that the function $f(x)=(x-a)^{n}, a$ a constant, has exactly one inflection point if $n \geq 3$ is an odd integer.
Step 1
The first derivative of the function is given by the power rule as $f'(x) = n(x-a)^{n-1}$. Show more…
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Show that the function $f(x)=(x-a)^{n}, a$ a constant, has no inflection point if $n \geq 2$ is an even integer.
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