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**arkhampatient** We're learning related rates/rates of change currently in my AP calc class. Just have a few questions, wondering if I'm understanding these problems correctly. The " " is my questions, etc.

f = 1/2L * sq. root ( T / P )

The frequency of vibrations of a violin string is given by the above eq. where L is the length of the string, T is its tension, and P is linear density.

#1. Find rate of change of f with respect to: a) the length (when T & P are constant), b) the tension (when T & P are constant), c) the linear density (when T & P are density)

" Do I take the first three derivatives of f to find these? First deriv being length, second being tension, third being linear density? "