Mathematical Physics L - 6 : PROPERTIES OF DIFFERENTIATION

PHYSICS ( MATHEMATICAL-PHYSICS-LECTURE-6 - PROPERTIES OF DIFFERENATION )
BY SUMIT SAURAV
FOR CLASS 11TH & 12TH I JEE I NEET I BOARD I NCERT | ICSE |

Differentiation is one of the key concepts in mathematical physics. It allows the study of the changes of functions with changes in their variables. As such, knowledge in the properties of differentiation becomes paramount in modeling physical systems or deriving core equations that govern their behavior. Here are some of the very fundamental properties of differentiation.

These properties of differentiation find essential applications in quite a number of areas of physics, such as

Kinematics: the description of motion, using velocity, the first derivative of position, and acceleration, its second derivative.
Electromagnetism: description of electric and magnetic fields, and their time derivatives.
Quantum Mechanics: wave functions and their derivatives to determine probabilities and behaviours of particles.
In learning these, one masters the mathematical tools for the description and analysis of dynamical systems.

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