The discussion centers on the commutation of the derivatives del and d/dt, specifically whether the equation del(d/dt)X = (d/dt)del_X holds true. Participants explore the mathematical implications and provide insights into vector calculus. The consensus indicates that under certain conditions, particularly when dealing with continuous functions and appropriate boundary conditions, the derivatives do commute. This conclusion is supported by various examples and theoretical explanations provided throughout the thread.
PREREQUISITESStudents of mathematics, physicists, and engineers who require a deeper understanding of vector calculus and the behavior of derivatives in multivariable contexts.
zheng89120 said:Homework Statement
Do the derivatives del and d/dt commute?
Or in other words, is it true that: del(d/dt)X = (d/dt)del_X
Homework Equations
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The Attempt at a Solution
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