What is the formula for the derivative as a function?
f(x+h)-f(x)/h
The formula for the derivative of a function f(x) with respect to x is given by:
f'(x) = lim(h → 0) [f(x + h) – f(x)] / h
Here, h represents the infinitesimal change in the input variable x. Essentially, this formula calculates the rate of change of the function f(x) at a given point x in terms of its slope or gradient. In other words, it tells us how much the function is changing at that instant or how fast the function is changing with respect to x.
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