Drag the point to see how the slope of the line relates to the
x value of the point at which it’s tangent to the function. Can you figure out what the function is, based on the values of the
x and
y coordinates? The slope of the line can also be represented in terms of
x; can you figure out what this representation is? This representation is the derivative
of the entire function, not just at a single point. This is called the derivative of the function, and can be notated by, for example, the derivative of
F(x) =
F’(x), although there are many other notations as well.
Tags: Calculus, Derivatives, Functions
