G'(x)

Definition

The derivative of a function g(x) represents the rate at which the function is changing at any given point. It measures the slope of the tangent line to the graph of g(x) at that point.

Related terms

Derivative:

The derivative of a function measures its rate of change or slope at any given point.

Tangent Line:

A line that touches a curve at only one point and has the same slope as that point on the curve.

Rate of Change:

How much one quantity changes with respect to another quantity. In calculus, this is often represented by derivatives.