Section 3.7 Rates of Change in the Natural and Social Sciences

Physics: Changes in position over time = velocity Changes in velocity over time = acceleration Changes in acceleration over time = jerk Changes in current over time = current

Chemistry Change in concentration over time = rate of reaction Change in volume with respect to pressure = compressibility

Biology Change in population over time = (instantaneous) growth rate Velocity of blood through a blood vessel with respect to the distance from the outer edge/rim of the blood vessel = velocity gradient

Economics Change in cost with respect to the number of items produced = marginal cost Change in revenue with respect to the number of items produced = marginal revenue Change in profit with respect to the number of items produced = marginal profit

Other examples

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