Differentiation

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Differentiation is a fundamental concept in calculus that deals with the rate at which a quantity changes. In simpler terms, it helps to determine how a function's output value changes as its input value changes. The process of differentiation calculates the derivative of a function.

The derivative of a function at any given point represents the slope of the tangent line to the curve of the function at that point, which tells us how steep the curve is. In physical terms, if the function represents the position of an object over time, the derivative would give the object's velocity (rate of change of position).


It gives the instantaneous rate of change.
Differentiation is often used in fields such as physics, economics, engineering, and optimization.


Differentiation plays a key role in solving problems involving rates of change, optimization, and motion.


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