Formal definition of derivative
The formal definition of the derivative of a function f at a point a is given by:
f'(a) = lim(h->0) [(f(a+h) – f(a)) / h]
This definition captures the concept of the instantaneous rate of change of the function at a particular point
The formal definition of the derivative of a function f at a point a is given by:
f'(a) = lim(h->0) [(f(a+h) – f(a)) / h]
This definition captures the concept of the instantaneous rate of change of the function at a particular point. It involves taking the limit as the change in the input variable, h, approaches zero.
In simpler terms, the derivative at a point represents how the function behaves near that point. It calculates the steepness or slope of the function’s graph at that point.
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