Definition of the Derivativef'(x) = ___________________
lim h->0 f(x+h)-f(x) / h
The derivative of a function f(x) is defined as the rate of change of the function with respect to its independent variable x. It is denoted as f'(x) and is given by the limit of the change in f(x) with respect to the change in x as the change in x approaches zero, i.e.,
f'(x) = lim (Δx → 0) [f(x+Δx) – f(x)]/Δx
In simpler terms, the derivative of a function represents how much the function is changing at a specific point or instant.
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