Variability of Instantaneous Rate of Change

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Consider the functions $f(x)=5$ , $g(x)=x^2$ , $h(x)=x^3$ , and $k(x)=\sin(x)$ . Rank these functions in increasing order based on the variability of their instantaneous rate of change.

sin(x), x^3, x^2, 5

x^3, sin(x), 5, x^2

x^2, 5, sin(x), x^3

5, x^2, x^3, sin(x)

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