Answer
See below
Work Step by Step
A) Physics - we can use the derivative find Biot-Savart's law which relates magnetic fields to the currents.
B) Chemistry - we can use derivatives of an exponential function to find rates of decay.
C) Economics - we can use derivatives to find the rate of change in the money supply and can gauge the velocity of money to check for inflation.
D) Biology - we can find the rate of growth of populations with logistic derivatives
E) Thermodynamics - we can compare closed and open systems.