Limit definition of the derivative

Definition

The limit definition of the derivative is a mathematical expression used to find the instantaneous rate of change (slope) of a curve at a specific point. It involves taking the limit as the change in x approaches zero.

Related terms

Derivative: The derivative measures how quickly a quantity changes with respect to another quantity. It gives us information about rates of change and slopes.

Tangent line: A tangent line is a straight line that touches a curve at only one point. It represents the instantaneous rate of change (slope) of the curve at that point.

Differentiation: Differentiation is the process of finding derivatives. It involves applying rules and formulas to determine how a function changes with respect to its input variable.