The frequency of vibrations of a vibrating violin string is given by
f= 1/2L √T/P
Where L is the length of the string, T is its tension, and pis its linear density. Find the rate of change of the frequencywith respect to
a) the length (when T and P are constant)
b) the tension (when L and P are constant)
c) the linear density (when L and T are constant)