What is the formula for definition of a derivative?
Lim h->0 (f(x+h)-f(x))/h
The formula for the definition of a derivative is:
f'(x) = lim h→0 [f(x+h) – f(x)]/h
This formula defines the derivative of a function f(x) at a point x, which is the rate of change of the function with respect to its input variable x, evaluated at that point. The derivative represents the slope of the tangent line to the graph of the function at that point. The limit notation in the formula indicates that we are finding the instantaneous rate of change of the function, by taking the limit of the difference quotient as h approaches zero.
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