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instantaneous gradient at x
As h→0, the average gradient approaches the actual gradient at x
Gradient at x
This leads to the formal definition of the derivative
is called the derivative of f with respect to x – or the gradient function of f(x).
Using the definition to find the gradient function (or derivative) of f, is sometimes referred to as “…finding the gradient/derivative using First Principles”
Let’s use it to find some other gradient functions….