Derivative of a function — what is it?

Derivative of a Function — What Is It?

What is a tangent to a function f(x) at point x? It is the line that touches the function only at point x. It doesn’t intersect the function at any other point x2, which is different from x.

What is the derivative of a function f(x) at point x? It is the slope of the tangent to the function at that point.

Consider the function:

The graph of this function is:

For …

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