A derivative is simply a rate of change. Whether you're modeling the movement of a particle or a supply/demand model, this is a key instrument of Calculus.

What is the rate of change of \( y = \frac{x(x-5)^2}{(x+3)^3} \) at \( x = 1 \)?

What is the rate of change of the function \( y = \ln ( 8 x) \) when \( x = \frac{ 1}{16} \)?

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