Definition of the Derivativef'(x) = ___________________
lim h->0 f(x+h)-f(x) / h
The derivative of a function f(x) represents the instantaneous rate of change or slope of the function at a particular point x. It is denoted as f'(x) and is defined as the limit of the ratio of the change in the value of f(x) to the change in the value of x, as the change in x approaches zero. Mathematically, the definition of the derivative of a function f(x) is:
f'(x) = limΔx→0 (f(x+Δx) – f(x))/Δx
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